Perhaps we all need to recall something: The Iron Ring of the Canadian engineers is forged from the steel of a bridge that collapsed and cost 75 lives. That ring is intended as a warning, not a training manual. It turns out that in the real world, right or wrong answers in math do matter.
In case you missed it, Hallowe’en started out as the Eve of All Saints Day (November 1). The kids running down the street dressed as ghouls, the piles of tooth-rotting candy and the toilet paper in the trees… that all came later. Thank you for listening.
Marks: It can be shown mathematically that the infinite does not exist in reality, only in our minds. Thus an infinite number of universes cannot exist.
So what, exactly, is this “false and illusory” view of our universe? Is this short essay another veiled “correct” assault on the fact of the fine-tuning of the universe for life? There seems to be a lot of that out there these days. Orthodox science is now in a deadly conflict with facts… There can only be one outcome.
Some of us remember when Darwinian commenters chided us for writing about the war on math and the war on science. Now that Jerry Coyne is starting to talk about it, will they start to listen?
We hope the journal isn’t intimidated by Darwin’s Outrage Machine, Inc. Just think, some people are now allowed to bring this up. And not just as an inhouse titter, followed promptly by dismissal of the question.
Toward the end: “If anything it shows that all the things we can solve are miracles.”
Here is an example of how numbers can give us hard puzzles: The obvious point, for the naturals is that 3n + 1 converts an odd to an even and division by two pulls out an odd factor or else gets into the chain of powers of two, which has precisely one odd member, 1. Read More…
There is a current conflict among researchers as to whether our number sense is biological or cultural (nature or nurture). But the conflict appears to miss the point: Elaborate number sense depends on the ability to abstract. If that ability is biological, where exactly is it? If it is cultural, it is an iteration of the ability to abstract.
Hossenfelder: The physicists who believe in this argue that unobservable universes are real because they are in their math. But just because you have math for something doesn’t mean it’s real. You can just assume it’s real, but this is unnecessary to describe what we observe and therefore unscientific.
Mathematics may well be an argument for dualism, the idea that the universe is intrinsically dual. It is both concrete and abstract, depending. Both the Chimp Chocolate Stakes and Chaitin’s Unknowable Number.
Hartnett, quoting: ““This is [a] very embarrassing thing that we don’t have a single quantum field theory we can describe in four dimensions, nonperturbatively,” said Rejzner. “It’s a hard problem, and apparently it needs more than one or two generations of mathematicians and physicists to solve it.””
Here: This syllogism is of considerable practical importance: This raises the issue of denying the consequent, ~q. If p –> q and ~q, then as q is necessary for p, ~p. Where, p is sufficient for q, by reason of its core characteristics, the states of affairs associated with p, causal power, requirement of logic Read More…
Indeed. That was the remarkable insight of Kurt Gödel (1906–1978), which destroyed formerly triumphant positivist philosophy. When you get to the bottom of the universe (if you do), it’s mostly questions, not answers.