Today's mind warp

MaC

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I have a butterfly mind. I am an all grown up fully functional highly intelligent ADHD kid.
Who knew ? we didn't when we were growing up, but psychology graduate near as DIL, says I'm a classic example :rolleyes: and that so long as it doesn't interfere with normal life, why not ?

I get things stuck in my mind though; phrases that rattle around, concepts that refuse to resolve without me actually sitting down and thinking about them.

Who knew that maths could be philosophied ?

Gödel's Incompleteness Theorems: published by Kurt Gödel in 1931, Gödel's Incompleteness Theorems demonstrate that there are true statements in any formal axiomatic system that cannot be proven within the system, and, further, that no such system can fully demonstrate its own consistency.

Basically sums can't be used to prove sums.....
 

BorderReiver

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From a chap called Kevin Parcell:

"When someone tells another person directions to their house, they don’t need to tell them, “My home is motionless”. And the people of the ancient world had invented math, and their greatest scholars studied the stars and concluded that the Earth is at the center of the cosmos because all the stars circle the Earth every day. They didn’t need to say the obvious, which is that stars circle the motionless Earth. That was an assumption so obvious it required no proof, not even a thought.
We all see our home the Earth is motionless. And thus, when proof showed that this is wrong, then that proof was censored, until well after the math and science advanced to explain it.
Galileo.
Timeline of important events in the life of Galileo whose discoveries with the telescope revolutionized astronomy and paved the way for the acceptance of the Copernican heliocentric system. He made fundamental contributions to the science of motion and to the development of the scientific method.
Newton’s laws of motion include equations that followed a century later, after Galileo’s principle of equivalence of rest and uniform motion, and the success of those laws, and improved telescopes, confirmed the heliocentric model beyond all reasonable doubt. But at one time, the doubt was reasonable and the best math and science had understandably supported the geocentric model.
Likewise, when someone asks you the time, you do not need to say that clocks measure the flow of time into the future before you tell them the time on your clock. That’s an assumption today about what clocks measure that seems so obvious as to require no thought, much less need proof.
Einstein had written in 1912 that the best equations of math and science (Lorentz transformations) showed that clocks tick slower in relative motion, stop ticking at the velocity of light (c), and then the rate of ticking advances into negative numbers if clocks move faster than c. No one has succeeded in exceeding c, but Einstein speculated that at superluminal velocity bodies go backwards in time. He realized that this would permit effects to precede their causes, and thus concluded that superluminal velocity is impossible. For example (as he suggested in a footnote), a superluminal signal would travel into the past, such that its effect could precede the cause of the effect. Likewise, accelerating into the future permits effects to precede their causes, as we’ll illustrate in our proof below.
Over the next few years, Einstein would complete his General Theory of Relativity that concluded that clocks tick faster at higher altitudes in a gravitational well, and evidence of that beyond reasonable doubt emerged over the following years and decades, which led Einstein to conclude that time itself is an illusion because all times in the past and future happen simultaneously.
Of course, the meaning of simultaneously is the opposite of the meaning of times in the past and future, so we may reasonably wonder if we actually know what time really is.
Is it possible that being able to see clocks tick slower and faster does not signify that all times happen simultaneously, as Einstein asserted, but instead signifies that the assumption that clocks measure the passage of time into the future is wrong? How can that be possible? Is there any proof?
What’s the proof?
One of the proofs is right in front of you on your computer if your computer uses the GPS satellites to keep your clocks synchronized with other clocks on the surface. The GPS satellites are in orbit, and clocks in orbit tick faster because of lesser gravity at higher altitudes. Those clocks also tick slower because of the relative motion of orbit. And those two opposing time transformations are added together, and they add to clocks ticking a tiny bit faster. Consequently, over the years, the times on those clocks have advanced continuously farther and farther ahead of clocks on Earth, so now when satellite computers send signals to our computers, those signals arrive here on the surface at a time on our clocks before the time on clocks on the satellites when they were sent. Effects can not precede their causes, just as Einstein noted in 1912, and thus clocks do not measure the passage of time into the future. QED.
But, like the need to understand how the Earth can seem motionless and yet be in motion, we need to understand what clocks measure if they don’t measure the rate of flow of time into the future, so we can accept this new “speed of time” model.
Clocks measure the rates of local processes, which is the rate that both a clock and the observer with the clock age. Put another way, clocks measure the conservation of inertia: the conservation of inertia is the conservation of rate of processes. Newton’s first law of motion is the law of conservation of inertia, which holds that bodies remain at rest or in uniform motion in a straight line, unless acted upon by an outside force. This describes bodies conserving their energy in the spatial relationships. But it turns out that bodies conserve their energy in their relationship with that aspect of the speed of time that clocks actually measure, which is speed of local processes, and thus different clocks can simultaneously tick at different rates, the paradoxes resolve, and thus we can update Newton’s first law:
Absent an external force, bodies remain at rest in time.
Rest in time is signified by constant rate of ticking of clocks: motionless clocks tick at a constant rate, and clocks observed in uniform relative motion tick at a constant, but slower rate.
And now, with this update of Newton’s first law, we can update his second law, because the relative duration of seconds corresponds to conservation of energy — rate of processes rather than speed of time into the future. Thus, we can see that cosmological redshift results from a universal acceleration of this aspect of the speed of time, rather than space stretching, such that our faster ticking clocks today measure fewer waves of light per second from distant galaxies. This universal acceleration of the speed of time that clocks tick corresponds to universal entropy, as signified by plugging this new understanding of seconds into Newton’s second law of motion (F=ma). We can’t do that if we assume clocks measure the speed of time into the future.
Every observer always sees their own clock tick at one second per second, because we “tick” at the same rate, the rate we age. Thus an observer in orbit and an observer on the surface of the Earth will disagree about how many seconds pass while the Earth orbits the Sun, but they can make their measurements simultaneously with neither ever in the past nor future of the other.
And thus you see, our science bumbles along with false assumptions, same as it ever was, and people who question assumptions are dismissed, exiled, disgraced, even executed. But sometimes the people who question accepted science are also correct. That’s how science moves forward, if and when it does, when people question and falsify assumptions and live long enough to share their answers.
This new understanding of time solves the paradoxes and riddles of cosmological redshift and expanding space, of gravity and the gravitational constant, and much more, including falsifying Einstein’s conclusion that c is the limit to velocity, and accounting for why we have just seen fully formed galaxies existed more than 13 billions years ago. This doesn’t have to remain future science."
Kevin Parcell.
 

Stew

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Someone suggested to my wife recently that I have mild adhd.

I think they’re right but don’t really care. I enjoy the change of task. The suggestion has seemed to make me more flighty at the moment though. I need to refocus to fewer ideas going on!
 

MaC

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I'm sitting here surrounded with stuff I'm making, and the ideas just don't stop ! You have my empathy :)

Years ago I was told that people who think the way we do are both creative and innovative, and better yet, we put those ideas and creativity into reality.

He was a senior University physics lecturer....I understand the reality of physics but working it all out before I do something does my head in.
I know it's going to work, iimmc ?
I live with the absolute certainty that here's always another way.
I was once called a terminal optimist by a disgruntled colleague :dunno:
 

Stew

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Creative and innovative fits. I know it’s big headed but generally you stick something I front of me that needs fixing and I sort something out. It might not be the right thing for long term but I can utilise the stuff around and manipulate to suit most of the time. I e had someone say that he’s magyvering it again….

Sticking to one job / project then going on to the next and so on sounds a bit boring to me.

I have sooo many ideas brewing in my head that I want to do. Right now I’m back to wanting to make a new SUP out of foam, considering a surfboard build for my eldest out of wood, trying to work out how to do river bungee surfing, making a better picavet rig, a log light fitting for the lounge, veneer lampshades for the hall, how to make an interesting picture frame for a print I was given, planning how to set up a seedling stand to send proceeds to charity, concrete plant pots to make, small pottery pots to learn, leather carving to try, I’ve got a tiki head carving on the go, a kuksa, a spoon and, and, and. Fun!
 
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