Category: Musings

The aesthetic beauty of mathematics!

Sorry! Did you say the beauty of mathematics?

Those of you that read this blog fairly regularly know that from time to time I drift away from all things dog and potter in the garden of simply fascinating ideas.

Such is the case today.

It is an article on mathematics that was sent to me by Jim Goodbrod. He had read it in The New York Times in April.

Read it and see if you, too, find it as fascinating as I did!

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The World’s Most Beautiful Mathematical Equation

Richard A. Friedman APRIL 15, 2017

Ruohong Wu

I was doing KenKen, a math puzzle, on a plane recently when a fellow passenger asked why I bothered. I said I did it for the beauty.

O.K., I’ll admit it’s a silly game: You have to make the numbers within the grid obey certain mathematical constraints, and when they do, all the pieces fit nicely together and you get this rush of harmony and order.

Still, it makes me wonder what it is about mathematical thinking that is so elegant and aesthetically appealing. Is it the internal logic? The unique mix of simplicity and explanatory power? Or perhaps just its pure intellectual beauty?

I’ve loved math since I was a kid because it felt like a big game and because it seemed like the laziest thing you could do mentally. After all, how many facts do you need to remember to do math?

Later in college, I got excited by physics, which I guess you could say is just a grand exercise in applying math to understand the universe. My roommate, a brainy math major, used to bait me, saying that I never really understood the math I was using. I would counter that he never understood what on Earth the math he studied was good for.

We were both right, but he’d be happy to know that I’ve come around to his side: Math is beautiful on a purely abstract level, quite apart from its ability to explain the world.

We all know that art, music and nature are beautiful. They command the senses and incite emotion. Their impact is swift and visceral. How can a mathematical idea inspire the same feelings?

Well, for one thing, there is something very appealing about the notion of universal truth — especially at a time when people entertain the absurd idea of alternative facts. The Pythagorean theorem still holds, and pi is a transcendental number that will describe all perfect circles for all time.

But our brains also appear to respond to mathematical beauty as they do to other beautiful experiences.

In a 2014 study, Semir Zeki, a neuroscientist at University College London, and other researchers used fM.R.I. scanners to observe the brains of 15 mathematicians while they were thinking about various equations. The subjects were shown 60 mathematical formulas two weeks before they were scanned and during and after the scan. They were also asked to rate their level of understanding of each equation and their subjective emotional response to it, from ugly to beautiful.

The researchers found a strong correlation between finding an equation beautiful and activation of the medial orbitofrontal cortex, a region of the prefrontal cortex just behind the eyes. This is the same area that has been shown to light up when people find music or art beautiful, so it seems to be a common neural signature of aesthetic experience.

Geeks, take heart: While you can’t see or hear mathematical ideas, they too are capable of arousing a sense of beauty.

No doubt you’d like to know which equation won the beauty contest. It was the so-called Euler’s identity, which is a deceptively spare but profound equation that links five fundamental mathematical constants: a mix of real and imaginary numbers that combine to make zero. And the ugliest? Ramanujan’s infinite series for the reciprocal of pi — a clunky equation, even to this non-mathematician.

While mathematicians were more likely to find formulas beautiful if they understood them well, the correlation was not perfect, so the researchers were able to show that the observed brain activation was a result of the experience of beauty apart from meaning. This makes sense, in that there were equations that subjects understood completely yet found ugly.

Now, the medial orbitofrontal cortex is also active when we find something pleasurable or rewarding, which isn’t surprising either, since you’d expect beautiful experiences to be both.

My love of math originated in the physical world. My father, an insatiably curious guy and electrical engineer, used to build things with me — crystal radios, electric generators, all kinds of exciting contraptions.

One summer evening I found him tinkering with a mysterious metal box in the garage. It was a prototype of a ruby laser. When he flicked the switch, a brilliant thin red light shot out of the laser and up into the night sky.

“How far does it go?” I asked. “To infinity,” he said and added, smiling, “or further.”

I was awe-struck. I still am.

Richard A. Friedman is a professor of clinical psychiatry and the director of the psychopharmacology clinic at the Weill Cornell Medical College, and a contributing opinion writer.

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While my understanding of mathematics is average, to say the best, I did identify with the idea spelt out a few paragraphs above. This one:

….. so the researchers were able to show that the observed brain activation was a result of the experience of beauty apart from meaning.

Because it took me back to looking up at the night sky out at sea well away from land.

Did I understand the meaning of what I was looking up at? Of course not! Did I experience beauty? Beyond what I could put into words!

On a clear night you can see some 4,000 stars in our universe. (Photo taken of a night sky over England – National Trust)

In memory of Zeke

A story about the death of a very dear dog.

This is a guest post coming up today. A reflection on what any dog lover feels when their beloved dog dies. (I don’t even want to think about the end of Pharaoh that can’t be too many weeks off!) But as has been said before it is one the key lessons that we learn from our dogs.

Not too many days ago I received an email from Liz Nelson.

I wanted to submit a synopsis of how our fur babies have dealt with the loss of a friend and the addition of another one to see if you wanted to use it as a guest post.

There was no question that I wanted to publish Liz’s synopsis so it could be shared with you. Here it is.

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The death of Zeke

See footnote for details of this photograph.

A little over a year ago we lost our precious Rottweiler, Zeke, to bone cancer.

Zeke, a rescue who still had remnants of buckshot in his torso from his days living in the woods of Mississippi, was with our family for about 8 years. A gentler giant there never was. He and our cat were friends and Zeke frequently bathed the cat’s head and ears. Zeke and our Chow-mix (Fiona) were also very close. We joked he was in love with her because he let her collect all the toys and win at tug-a-war, despite the size difference.

Losing Zeke was a tremendous blow for our household. Both dogs and our 2 cats were visibly impacted by Zeke’s loss. Fiona took it the hardest. She became listless, fatigued, and generally out of sorts. She wasn’t interested in playing and she became an even pickier eater. She would skip several meals in a row and then eat everybody’s food at one time (including the cats’). She and the other animals refused to touch the dog bed in the living room that Zeke had used. She also refused to chew on a large rawhide we found that had once been Zeke’s. It felt like she was saving his things for when he came back to claim them. We noticed the hair under her eyes starting to go gray. She started to show and act all 9 of her years (she’s a rescue and special needs dog so we’re amazed we’ve had 9 years with her).

The vet said we could explore antidepressants but I wanted to see if we could let her try to work through it without medication. Though they remain an option if needed.

In January, my husband said he was ready to think about getting a puppy and several weeks later we adopted an adorable rescue named Pierce. The rescue told us he was part Husky and part Lab. Now that he’s older we think there’s a hefty dose of hound in there. After a few days of wariness and some growling, the older dogs decided to accept the puppy as part of the household. Fiona regained her energy and she was often seen in the yard with the puppy, teaching Pierce how to play fight or stalk birds. She would chase the puppy until they were both exhausted (which we were grateful for). Sometimes she got annoyed with the puppy but for the most part she took on a big sister role.

Fast forward a few months and the puppy is now the biggest dog in the house. While he really is a good dog, he’s still a puppy. Now when he is too energetic there is a lot more of him bouncing around a room. Fiona spends much of her time reinforcing her dominance by taking his toys and putting them under her chin where Pierce is afraid to attempt to retrieve them. She’s stopped running around the yard to play with him. Perhaps because it hurts when you collide with 45 lbs of speeding, clumsy puppy (just ask my husband)? She has gone back to spending most of her time looking pitiful. She will let me pet her though she acts as if it is an imposition.

We’re hoping that when the puppy matures a little more Fiona will regain interest in playing with him. Or at least his behavior won’t annoy her as much. I know that the puppy can never replace Zeke’s place in the family but I really hope Fiona doesn’t spend the rest of her dog life mourning Zeke and ignoring the new dog!

Liz Nelson

Footnote (re the photo above):

I have a great picture of our family with Zeke and Fiona in it (and my third dog). It’s one of our engagement photos and I’m so glad we included the pups. As you can see Zeke was super cuddly! It’s one of my favorite pictures. You can use any of the information in my about section for an introduction. I don’t have it very detailed (I only started this blog this week) so if there is any additional info you want to include please let me know. I looked around for a more recent photo of myself but all of my recent ones are from Halloweens and involve costumes. Not really an everyday look!

So I guess let’s stick with the family photo. Thank you Paul!

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Liz’s website is Supervising With Social Anxiety. Her About page opens with:

I am a supervisor at a small non-profit agency. I’m also in school part-time working on a doctorate. I’m a social worker so I’ve been working in non-profit agencies since I got my master’s degree around 8 years ago. I’ve been in management for around 5 years. I have had to deal with pretty intense social anxiety for as long as I can remember.

Another great connection if you ask me!!

Natalie exploring the meaning of peace.

Another delightful travel account from Natalie Derham-Weston.

Albeit perhaps travels of a more inward nature.

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Travel Blog: Installment 3: Living on a boat.

Simple Peace

I fancied an interlude this week to share a morning I enjoyed over the weekend. It isn’t often that the chance arises to enjoy our local surroundings without time limits, overdue deadlines or inconvenient meetings. However, I had a day off Saturday; a concept becoming more and more valued having since started a new full-time job, which is quite demanding on my time. I have requested this high load of hours but after months of travelling and not having regular work, it is taking a while for me to adjust to the mental and physical demands.

Anyway, without going into the irrelevant details, I have been spending my time living on a boat in a marina in Lymington, a small sea side town in the New Forest on the South Coast of England. This means my commute to work is a 2 minute walk and although I do not know the first notion about sailing, I have quickly fallen for the lifestyle of boats and water. I have found it to be extremely sociable and relaxing and I have all I need around me. This includes a bicycle, a car, swimming facilities, work, grocery shops and a very modest yet comfortable boat.

So last Saturday, I woke up early, as I was already in the routine of being awake from my work shifts and saw the sun streaming in through the port hole windows. This immediately buoyed me and I pulled the curtains and opened the hatch to let in the fresh air. I had a few items on a to do list but I certainly didn’t intend on wasting the valuable time I had.

I did have an appointment I couldn’t shirk but made it as quick as possible and on the way back picked up some lunch items. Back on the boat, I had a quick tidy and clean as I firmly believe an orderly workspace leads to a clearer mind.

I pre-empt this by saying I am usually accompanied by my father on the boat but this specific day was the first time I had been left in solo charge and this gave me somewhat of an independent free feeling. So my next mission was to cook some eggs which I did on our very small gas camping stove. I took some cushions out on deck and had my lunch in the warm April sunshine. Our pontoon seems to be quite an active mooring site and there were people constantly wandering along it all day, carrying tools, bags and equipment back and forth. So although I was alone, I did not feel isolated.

I then left everything behind on the boat, including my phone and took my bicycle around the headland on a trail I had never been on before. The channel was extremely clear and I had a wonderful view over to the Isle of Wight and watched the bustle of boats going to and fro. I passed lots of families, dogs, bird watchers and couples but kept going at a steady pace along the gravel track headed towards Keyhaven, the next fishing village along.

There is no specific reason why I enjoyed this so much, just the whole atmosphere and surroundings made for a very encompassing uplifting day. I continued along the path, and had no care as to where I was or where I was going. I was confident enough that I knew I’d always find my way back somehow and so without that pre-conditioned feeling of panic, I cycled on along the back roads and hauled my bicycle over fences and gates.

Two hours later I cycled back in to the marina and abandoned the bike next to the boat. The boat is never locked, another aspect I really appreciate. I don’t think this would be possible everywhere, but it allows for a very open way of life. So I grabbed a cushion and headed to the bow of the boat, lying in the sun, drinking a beer, watching the world go by.

This just proved to me how easy it is to be happy sometimes. We need very little but that day will stay in my memory for a long time as a point in time where I was 100% content.

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I had the great fortune of living on a yacht Songbird of Kent, a Tradewind 33, for five years in the late ’80s early ’90s based out of Larnaca on the Greek side of Cyprus. I can fully vouch for the peace that Natalie has written about.

Talking to one’s dog!

Are you a dog owner? Then here’s something else that you gain from your wonderful friend.

I was rather short on time yesterday so apologies for cutting my introduction to a minimum. But you will still love this item that appeared on the Care2 site three days ago.

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People Who Talk to Their Pets Are Actually Quite Intelligent

By: Elise Moreau   April 25, 2017

About Elise   Follow Elise at @elisem0reau

If you’ve ever owned a pet, you’ve probably talked to it at one point or another. And even though you may have been fully aware that your pet couldn’t talk back or even really comprehend what you were saying, you still did it anyway.

Why do we do this? Why do we talk to our pets like human friends when we know their little minds just aren’t built to think or feel the same way we do?

When we talk to our pets, we subconsciously create a human-like bond in our own minds with non-human creatures. We’re built for connection — and we feel more connected to things when we recognize that they’re just like us.

Talking to animals (and even to inanimate objects, such as house plants) is called anthropomorphism. We usually call it “cute” when kids do it, but when adults do it, we tend to view it as a little weird and immature.

According to behavioral science professor at the University of Chicago and anthropomorphism expert Nicholas Epley, talking to animals and objects is actually a sign of intelligent social cognition. Humans are very social creatures, so our brains are wired to see faces and perceive minds everywhere.

Epley explains that we anthropomorphize the things that we love as opposed to the things that we hate. The more we like something, the more likely we are to want to engage with its mind — even if it doesn’t actually have a mind.

In a 2011 study where a group of participants were shown photos of baby animals and adult animals, most admitted to liking the baby animals better and were more likely to anthropomorphize them. If the participants could own one of the baby animals, they said that they would name it, talk to it and refer to it by its appropriate gender pronoun.

The most common way we anthropomorphize animals and objects is by giving them names, but it can apply to character traits, too. For example, a person may describe their cat as “sassy” or their car as a “rickety old man.” These human-like character traits given to non-human things reflect our relationship with them and perhaps even symbolize extensions of ourselves.

Anthropomorphizing only benefits us when inanimate objects are involved, but when it comes to anthropomorphizing domesticated animals like dogs and cats, both ourselves and our pets can benefit. Since these animals evolved over thousands of years to become human companions, they are biologically designed to bond with us.

Studies have shown that when we talk to dogs, they can distinguish between the meaning of the words and the emotional cues we give them. Cats may not be as responsive to human language as dogs are, but they do have the ability to recognize their owners’ voices and they also have 16 different types of vocalizations they use to communicate.

So you can let go of the widely held belief that talking to your pet, your houseplants, your car or anything else is childish or even a little bit crazy. From a scientific viewpoint, it turns out that quite the opposite is true.

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Let me close by reminding all you good people of yet another wonderful aspect of the relationship between humans and dogs. In that we all know the dog evolved from the grey wolf. But had you pondered on the fact that wolves don’t bark! Yes, they howl but they do not bark.

There is good science to underpin the reason why dogs evolved barking; to have a means of communicating with us humans.

Every person who has a dog in their life will instinctively understand the meaning of most, if not all, of the barks their dog utters.

Five years in the blink of an eye!

“Events, dear boy, events!”

That quote was one uttered by Harold Macmillan, the British Conservative politician and publisher, who served six years as Prime Minister from 1957 to 1963. It was in response to a question regarding what sort of thing was most likely to blow a government off course.

Why did that quotation come to my mind? Simply because all my grand plans for writing a post for you good people were stymied by our internet connection being down for much of the weekend.

So rather than get cut off half-way through a new post, I decided to re-post what I published on this blog five years ago to the day: on April 24th. 2012. Here it is.

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How lady luck brought joy for a ‘down-and-out’ Londoner and a cat called Bob!

I was chatting with my son yesterday and he happened to mention that perhaps I should write about a cat for a change! Alex mentioned a book recently published in the UK called A Street Cat Named Bob: How One Man and His Cat Found Hope on the Streets.

This is how the book is described on Amazon (UK site),

When James Bowen found an injured, ginger street cat curled up in the hallway of his sheltered accommodation, he had no idea just how much his life was about to change. James was living hand to mouth on the streets of London and the last thing he needed was a pet. Yet James couldn’t resist helping the strikingly intelligent tom cat, whom he quickly christened Bob. He slowly nursed Bob back to health and then sent the cat on his way, imagining he would never see him again. But Bob had other ideas. Soon the two were inseparable and their diverse, comic and occasionally dangerous adventures would transform both their lives, slowly healing the scars of each other’s troubled pasts. A Street Cat Named Bob is a moving and uplifting story that will touch the heart of anyone who reads it.

A quick web search found volumes of material.

As in the local London newspaper the Islington Tribune wrote this back in 2010,

Two cool cats… the Big Issue seller and a stray called Bob

Inseparable: musician James Bowen with Bob

Down-on-his-luck musician teams up with ‘wonderful loyal friend’ he rescued from streets

Published: 24 September, 2010
by PETER GRUNER

NOT since the legendary Dick Whittington has a man and his cat become such unlikely celebrities on the streets of Islington.

Big Issue seller James Bowen and his docile ginger cat Bob, who go everywhere together, have been attracting comments since they first appeared outside Angel Tube station.

The story of how they met – widely reported in blogs on the internet – is one of such extraordinary pathos that it seems only a matter of time before we get a Hollywood film.

James, 31, who lives off Seven Sisters Road, Holloway, is a musician who has fallen on hard times.

He ekes out a basic living selling the homeless people’s magazine Big Issue at Angel and Covent Garden.

Bob was a stray discovered by James outside his accommodation one day.

The cat was limping after apparently being attacked by another animal, possibly a fox.

After failing to discover the cat’s owner, James took him to the RSPCA hospital at Finsbury Park, which prescribed a course of antibiotics.

“I kept him for two weeks until he was well enough to go on his way,” said James. “But when I opened the front door to let him out Bob wouldn’t move. He seemed to me to be saying: ‘I want to stay with you.’

“Now we go everywhere together. I even have a cat harness when we go out and Bob gets really excited when I show it to him.”

Read the rest of the article here and if you want more information, a web search on Bob the Cat will finds loads more.

It’s a fabulous story with a great message of hope for not just for James and Bob but for all of us that find ourselves ‘up a creek without a paddle’ at points in our lives.

Here’s how the newspaper The Daily Mail wrote about it on their website,

[last half of the story]

But then Bob started following him and it became increasingly difficult to shoo him away, especially as there were dangerous roads to be crossed. One day there was nothing for it but to put Bob on a makeshift lead and take him along. Bob travelled sitting on James’s shoulders.

The trouble was, so many cat-mad passers-by stopped him to stroke the animal that James arrived late at his pitch, secretly cursing Bob for thereby costing him some of his usual £25-a-day takings. He couldn’t have been more wrong.

Within minutes, people who would normally have walked by without giving James a second glance were lingering to make a fuss of the cat sitting sedately in his guitar case, and most made a donation. By the end of the day, he’d racked up more than £60.

It was the beginning of a phenomenon as tourists and commuters befriended Bob and James, many bringing titbits for the cat. People were amazed at how placidly Bob would sit all day, quite happily watching the world go by while James earned a living. Not that it was always without a hitch; on a couple of occasions Bob bolted when startled, leading to a frantic chase through the crowded streets.

Bob’s popularity continued when James switched from busking to selling the Big Issue, the magazine produced and sold by homeless people. This change in direction was part of James’s growing sense of a need to get his life in order, which he puts down to the responsibility of looking after Bob, and the example the cat offered of the possibility of a second chance.

It enabled James to make the final push to end his drug dependency, going through the necessary cold turkey to get off heroin substitutes, and to mend broken contacts with his family. The final result of Bob’s influence came when a literary agent who passed the duo every day and had seen them on YouTube suggested James tell their story in a book. The result is this heart-warming tale with a message of hope that will appeal especially to the many cat obsessives out there.

Read the full story here.

Let me close with another video, this one from a recent UK This Morning TV show with James Bowen and his cat being interviewed by Eamonn and Ruth.

Thank you, Alex; great story!

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Hope you enjoyed that ‘blast from the past’.

Keep saving those dogs!

Yet another wonderful saving of a dog from a frozen lake!

One of the ‘generalist’ blogs that I follow is Mother Nature Network (MNN) and yesterday MNN published the account of a dog in Canada being rescued from icy cold water.

So another wonderful story to share with you all!

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Man jumps into icy lake to save beloved pup

Noel Kirkpatrick April 10, 2017.

Winter hasn’t let go of some parts of North America just yet, including St. Albert, Alberta, in Canada. Cold temperatures keep the lakes frigid and icy, as a local man and his dog discovered recently.

A French bulldog named Cosmo plunged into a lake in a park in St. Albert — it was a leash-free area of the park — and was struggling to pull himself out of the thin ice that covered the lake. Cosmo’s owner, Duncan McIver, jumped in to save his pup.

McIver was able to push Cosmo onto the ice and then, while carrying Cosmo, slowly walked across the ice, but not without plunging into the freezing cold water once more.

In a bit of serendipity, a CTV news crew was already at the park, filming a report on ice safety, and caught the whole episode on camera.

“As soon as the ice broke, I just went right in,” McIver told CTV Edmonton, “I think most people would do the same for their dog.”

The saying goes that a dog is man’s best friend, but we think moments like this prove the feeling is mutual.

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Yes, picking up on that remark by Duncan McIver, most people really would do what Duncan did!

Thank goodness for that!

In the land of the blind!

On the Problem of Good: A book review.

As is the way of the Internet and Blogging it is inevitable that connections are made in all four corners of the globe. Some connections are transient, others become long-term. The connection between author John Zande and this blog fits the latter description.

If, dear reader, you have read my posts of the last two days, then that connection between John and me will be clear.

So on to John’s latest book: On the Problem of Good.

Now despite the fact that I awarded the book five stars on Amazon I can’t tell you that it is an easy read. Nor, to that fact, is it a comfortable read.

For John’s book played around with my head in so many ways that I am still far from returning to a settled mind. Indeed, I have a sneaky suspicion that On the Problem of Good represents another one of those turnstiles in life where once through the ‘gate’ there is no returning to the past way of seeing things.

It played with my mind in the sense of forcing me, albeit with a very small ‘f’, to truly comprehend the consequences of unanticipated outcomes. You know that old saying: “Never underestimate the power of unanticipated consequences“.

Here’s an example.

In 1889 a total of 26 road deaths were recorded in the United States. By 2013 that number had exploded to approximately 35,500. Globally, the number stands at 1.24 million and the World Health Organisation  predicts the body of carnage will grow to 1.9 million by 2020. (p.44)

That is just one of the many examples that John uses to support his premise that “good simply does not exist”.

But it goes deeper than that. For John reveals the incalculable, unstoppable force of evolution. Going right back to the very origins of matter. How hydrogen fused into the more complex helium that, in turn, fused into the still heavier and more complex carbon, then along came the fusing of helium and carbon to make oxygen. Then the journey of evolution of atoms. From single atoms to simple compounds, binding to produce double compounds and on to molecules. Then the marriage between molecules to produce amino acids, and on and on to proteins and enzymes and … well, you get the idea!

That continuum from simple to complex organisms and on and on to air-breathing animals (including wolves and then dogs!) and all the way to the likes of yours truly sitting in front of a modern computer writing the review of another person’s book.

All the time, since 13.82 billion years ago, the evolutionary force being a one-way street. A one-way street where John, with some degree of persuasiveness, demonstrates that everything that might, at that time, be seen as a good is not fundamentally a good because it is inextricably connected to a resulting evil.

The Problem of Good is a word problem. It is a lexical glitch, a squabble in temporal, fleshy definitions, and nothing more.

There is no disagreement or antipathy because there is no problem.

Good does not exist. (p.29)

See what I mean about this not being a comfortable book to read!

Nevertheless, you are waiting to hear from me as to whether or not you should read this book?

In answer, here’s a part of what I wrote for my review of the book on Amazon:

If you ever pause for a moment and wonder about the meaning of life, better written as The Meaning of LIFE, then this book is for you. More than that. For if you never ponder about the meaning of life then this really, really is the book for you.

Because for most of us, for most of the time, we live in the land of the blind.

So, thank goodness, that from time to time along comes a person who is the one-eyed King.

Thank you, John Zande.

Rebecca’s Ode To Her Dog

What a wonderful postscript to yesterday’s post.

There was an exchange of comments yesterday to my post This Is The Dog.

Rebecca offered:

I just wrote an ode to my dog…. she is everything.

I responded:

Rebecca, please share your ode with everyone.

Rebecca then provided the link:

Here ya go 😀
https://myfacesoflife.wordpress.com/2017/03/21/ode-to-my-dog/

If you go to that place, you will read this.

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Ode to my Dog.

Posted by Rebecca on March 21, 2017

This is Raya.

She is perfect. Even with her imperfections.

 

Wherever I go, so does she.

For 11 years she has been in my life.

For 11 years she has comforted me through my troubles.

For 11 years she has filled me with love.

For 11 years she has loved me.

For 11 years I treasured every moment.

For 11 years now… and I am fully aware that we are running out of time.

Here she lies, sleeping next to me on the sofa.

Dreaming a dogs dream with all paws moving.

She is perfect.

How will I ever do this without her sleeping next to me on the sofa?

This is Raya.

She is perfect. Even with her imperfections.

She keeps me safe when I am scared.

She watches over me as she sleeps on the foot of my bed.

This is Raya.

She is perfect. Even with her imperfections.

When she is happy, I smile with her.

When she is hurt, I fix her pain.

When she needs help, I stop what I am doing and I help.

When I am sad, she comforts me.

She makes what I do possible. She makes the bad days good. She makes the good days fantastic. She makes the horrible days bearable. Through every move, through every fight, through every depression, through every tear, through every laugh, through every moment of joy, through every moment of peace, through every moment of serenity, through every nightmare, through every feeling of desperately wanting to run away, through all of the times that I wanted to scream at the top of my lungs, through all of the times I prayed for death, through all of the times my insides were screaming so hard it made me feel like I was going to burst, through all of the times I felt my heart break, through all of the times I felt my heart mend again. She was there. Depression has many faces and she has seen them all and helped me overcome. She has given me reason because her love deserves attention.

….. and we are running out of time. The possible will become impossible.

This is Raya.

She is perfect.

She is mine and I am hers.

I am hers and she is mine.

We are equal in love, in pain, in joy, in life.

I am proud to be her human. All of the mistakes I have made in the past… with Raya, I did it right.

She is perfect.

When you look into her eyes you can see her soul. Her character, her goofiness, her lust for life, her love, her mind, her cleverness. Her loyalty. I sometimes wonder what she sees when she looks back into my eyes. Does she see everything that I see? Would she also call me perfect? All I see in that connection is love.

She is perfect.

My Raya, my girl. All my love. We will live forever.

 

~ Becca ~

 

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Stunningly beautiful and, yes, perfect!

This is the dog!

Perhaps the loss of a loved dog explains so much!

The posts for the last two days have carried separate and very different stories of terrible cruelty to dogs, the second one involving terrible cruelty to a dog and a bull! As a tradition! Ouch!!

Readers of this place know what they feel about dogs. It is felt deep within their hearts. Those feelings are poured out when, either from me or someone else, there’s a post lamenting the loss of their dog.

Just as a tiny example of that love we all have for our dogs, here’s a response from Marina Kanavaki and, trust me, Marina is far from being alone in this regard.

Oh, no, Paul!!! I’m so sorry my friend! It is hard to believe and not so long ago, Casey. I know words can’t take away the pain but you have my thoughts and I’m sending you both my love and hugs.

So a recent essay published on The Conversation site is a must to share with you today. As usual, it is republished within the terms of The Conversation.

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Why losing a dog can be harder than losing a relative or friend

March 9, 2017
Frank T. McAndrew,   Cornelia H. Dudley Professor of Psychology, Knox College.

Recently, my wife and I went through one of the more excruciating experiences of our lives – the euthanasia of our beloved dog, Murphy. I remember making eye contact with Murphy moments before she took her last breath – she flashed me a look that was an endearing blend of confusion and the reassurance that everyone was ok because we were both by her side.

When people who have never had a dog see their dog-owning friends mourn the loss of a pet, they probably think it’s all a bit of an overreaction; after all, it’s “just a dog.”

However, those who have loved a dog know the truth: Your own pet is never “just a dog.”

Many times, I’ve had friends guiltily confide to me that they grieved more over the loss of a dog than over the loss of friends or relatives. Research has confirmed that for most people, the loss of a dog is, in almost every way, comparable to the loss of a human loved one. Unfortunately, there’s little in our cultural playbook – no grief rituals, no obituary in the local newspaper, no religious service – to help us get through the loss of a pet, which can make us feel more than a bit embarrassed to show too much public grief over our dead dogs.

Perhaps if people realized just how strong and intense the bond is between people and their dogs, such grief would become more widely accepted. This would greatly help dog owners to integrate the death into their lives and help them move forward.

An interspecies bond like no other

What is it about dogs, exactly, that make humans bond so closely with them?

For starters, dogs have had to adapt to living with humans over the past 10,000 years. And they’ve done it very well: They’re the only animal to have evolved specifically to be our companions and friends. Anthropologist Brian Hare has developed the “Domestication Hypothesis” to explain how dogs morphed from their grey wolf ancestors into the socially skilled animals that we now interact with in very much the same way as we interact with other people.

Perhaps one reason our relationships with dogs can be even more satisfying than our human relationships is that dogs provide us with such unconditional, uncritical positive feedback. (As the old saying goes, “May I become the kind of person that my dog thinks I already am.”)

This is no accident. They have been selectively bred through generations to pay attention to people, and MRI scans show that dog brains respond to praise from their owners just as strongly as they do to food (and for some dogs, praise is an even more effective incentive than food). Dogs recognize people and can learn to interpret human emotional states from facial expression alone. Scientific studies also indicate that dogs can understand human intentions, try to help their owners and even avoid people who don’t cooperate with their owners or treat them well.

Not surprisingly, humans respond positively to such unrequited affection, assistance and loyalty. Just looking at dogs can make people smile. Dog owners score higher on measures of well-being and they are happier, on average, than people who own cats or no pets at all.

Like a member of the family

Our strong attachment to dogs was subtly revealed in a recent study of “misnaming.” Misnaming happens when you call someone by the wrong name, like when parents mistakenly calls one of their kids by a sibling’s name. It turns out that the name of the family dog also gets confused with human family members, indicating that the dog’s name is being pulled from the same cognitive pool that contains other members of the family. (Curiously, the same thing rarely happens with cat names.)

It’s no wonder dog owners miss them so much when they’re gone.

Psychologist Julie Axelrod has pointed out that the loss of a dog is so painful because owners aren’t just losing the pet. It could mean the loss of a source of unconditional love, a primary companion who provides security and comfort, and maybe even a protégé that’s been mentored like a child.

The loss of a dog can also seriously disrupt an owner’s daily routine more profoundly than the loss of most friends and relatives. For owners, their daily schedules – even their vacation plans – can revolve around the needs of their pets. Changes in lifestyle and routine are some of the primary sources of stress.

According to a recent survey, many bereaved pet owners will even mistakenly interpret ambiguous sights and sounds as the movements, pants and whimpers of the deceased pet. This is most likely to happen shortly after the death of the pet, especially among owners who had very high levels of attachment to their pets.

While the death of a dog is horrible, dog owners have become so accustomed to the reassuring and nonjudgmental presence of their canine companions that, more often than not, they’ll eventually get a new one.

So yes, I miss my dog. But I’m sure that I’ll be putting myself through this ordeal again in the years to come.

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Just let the messages of this essay reverberate around your heart. I’ll say no more!

Picture Parade One Hundred and Eighty-Seven

Today’s Picture Parade is devoted to remembering Paloma

Just five precious photographs.

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Here at Oregon, January 26th, 2014.

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This one is especially poignant as it shows (L-R) Lilly, Hazel and Paloma. All three of them are no longer with us.

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Paloma, December 29th 2011

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Such a special lady in a world of such special dogs.