Posts by Thomas Thomas63

Sam Martinez9 said:I'm curious about your reasoning there. Could you elaborate on that thought process?

My point was that a baby born 100,000 years ago could be raised just like any child born today. Why? Because they are still *Homo sapiens*. Genetically speaking, they are identical to us. They possess all the biological predispositions required to integrate into our modern society—to use smartphones, computers, and so on. In the exact same way, a child born today possesses every genetic predisposition needed to thrive in the world of *Homo sapiens* from 100,000 years ago.

It works the same way whether you take a child born 4,000 years ago, 2,000 years ago, or even just a century ago; we could raise them just like any modern infant born in an American hospital today.

The genetic blueprint remains the same. What a child ultimately becomes depends entirely on the environment in which they are raised.

In terms of the core blueprint, sure. But I think it's more complicated than that.

There’s this relatively new, fast-growing field in science called epigenetics. It basically looks at how behavior and environment can trigger changes that affect how genes actually function. We aren't talking about changing the DNA sequence itself here; epigenetic changes are reversible and don't alter the underlying DNA code, but they can totally change how the body reads that sequence.
Because of that, transgenerational epigenetic inheritance can influence an offspring's traits without ever touching the actual DNA structure.

These variations can be endogenous (like cell-to-cell during early development) or exogenous (how cells react to environmental factors).
So, I guess there's a chance that multi-generational epigenetics could be another layer of evolution and adaptation. Some people even go as far as calling epigenetics a form of heredity.

https://en.wikipedia.org/wiki/Trans...ic_inheritance

I guess courage is really just stepping out of your comfort zone and staring down the unknown.

Beauty shows up in a master stroke of a paintbrush, a swell of music, the right word, or just a genuine smile. We all recognize it when we see it. But I've been thinking—maybe the beauty we create and share, and even the stuff we take in, is really just a reflection of what's already inside us.
We are the beauty. It’s kind of wonderful, I guess, to find that spark within ourselves and then spot it in everyone else, too.

Nicholas Gonzalez87 said:Gödel's work absolutely floored me. I honestly thought I was diving into the most rock-solid, foolproof discipline out there, and then... boom. There's one silver lining, though, at least for my own peace of mind: math can't just be derived from pure logic—even if Amanda Jackson5 would argue otherwise. To me, that actually solidifies math as its own independent field with its own set of axioms and methods.

I’m still stuck wondering if mathematical facts and objects exist in some separate realm outside our minds, or if they're just constructs we've agreed upon. If aliens showed up tomorrow, would they use the same math we do, or something totally different? 😁

Mathematical objects themselves are pretty indifferent when it comes to truth or falsehood; it's only the actual statements within mathematical logic that carry those labels of true or false.

You aren't alone there; Gödel basically turned the mathematical world upside down.
I think I wrapped my head around Gödel's incompleteness theorems thanks to a simpler argument about a supposedly autonomous truth-telling machine.
Either way, I'd say math isn't quite as reductionist as it seems at first glance.

As for your question, I'll just quote Hardy, who apparently once told Bertrand Russell: "If I could prove by logic that you were going to die in five minutes, I would be sorry you were dying, but my grief would be greatly mitigated by the pleasure of the proof."
What can you say? Mathematicians, I guess. 🤣
Anyway, the debates just keep going. Speaking of which, have you ever heard of Srinivasa Ramanujan? His story really struck a chord with me. They say that without any formal mathematical training, he arrived at incredibly profound results through what seemed to be pure intuition—almost like it was direct.

I’ve been following the debate regarding mathematics and mathematical truths with interest.
The whole argument over whether math is invented or discovered has been going on forever, and there are plenty of different philosophical takes on what math actually is.
To me, John Polkinghorne’s view makes sense—he suggests that the lived experience of those working within the field carries some unique weight. He also points out how G. H. Hardy spoke for many when he said:

I’ll state my position quite firmly... I believe mathematical reality exists independently of us. Our role is simply to discover or observe it; the theorems we prove and describe so eloquently as our own creations are, essentially, just notes on our observations.

Kurt Gödel demonstrated that any axiomatic system, provided it has enough structural depth, will contain statements that are possible but undecidable—things whose existence can't be formally established. In other words, there are mathematical truths that math itself cannot prove, which means they can't be fully "trapped" within a logical web.
He really shook the mathematical world, though as a committed Platonist, I guess he wasn't surprised himself. He always seemed convinced that everything we see or imagine is just a shadow of some objective ideal existing outside our "real" world, right?

Maybe the key here is looking at experience. There is an experience that holds mathematical truths, but it doesn't necessarily have to be separate from other mental experiences. Those are actually facts, so they're just parts of the very reality or truth we're searching for.

Anyway, that’s more or less how I’m trying to wrap my head around it with you all. 😁