The paper resolves the great debate of the 20th century between the three philosophies of mathematics-logicism, intuitionism and formalism—founded by Bertrand Russell and A. N. Whitehead, L. E. J. Brouwer and David Hilbert, respectively. The issue: which one provides firm foundations for mathematics? None of them won the debate. We make a critique of each, consolidate their contributions, rectify their weakness and add our own to resolve the debate. The resolution forms the new foundations of mathematics. Then we apply the new foundations to assess the status of Hilbert’s 23 problems most of which in foundations and find out which ones have been solved, which ones have flawed solutions that we rectify and which ones are open problems. Problem 6 of Hilbert’s problems—Can physics be axiomatized?—is answered yes in E. E. Escultura, Nonlinear Analysis, A-Series: 69(2008), which provides the solution, namely, the grand unified theory (GUT). We also point to the resolution of the 379-year-old Fermat’s conjecture (popularly known as Fermat’s last theorem) in E. E. Escultura, Exact Solutions of Fermat’s Equations (Definitive Resolution of Fermat’s Last Theorem), Nonlinear Studies, 5(2), (1998). Likewise, the proof of the 274-year-old Goldbach’s conjecture is in E. E. Escultura, The New Mathematics and Physics, Applied Mathematics and Computation, 138(1), 2003. — Edgar E. Escultura
They thought mathematical truth was derivable from logic. — fishfry
The strong version of logicism maintains that all mathematical truths in the chosen branch(es) form a species of logical truth. The weak version of logicism, by contrast, maintains only that all the theorems do.
The formulation of the logicists' program now becomes: Show that all nine axioms of
ZF belong to logic. — https://www.jstor.org/stable/2689412?seq=1
It has been argued that the liberation of women is a project which cannot be disentangled from the liberation of (and political recognition of) the environment. The objectification of nature is seen as an aspect of patriarchy, which may be undone by the acceptance of an ethics of care which acknowledges the existence of non-human persons.
A contradiction is an assertion of Propositional Logic that is false in all situations; that is, it is false for all possible values of its variables. — Tautologies and Contradictions
If they did, would a 50% reduction in cancer rates work as well? Only 10%? — Count Timothy von Icarus
If cancer and tigers didn't exist couldn't you still make this same argument? — Count Timothy von Icarus
What ratio of ills would need to be eliminated from the world to make it "good enough?" — Count Timothy von Icarus
We know from the sciences that equilibrium is a tendency of Nature — Benj96
Could Karma be the expression of basic physical laws of motion emerging/permeating into the sphere of sophisticated societal dynamics? — Benj96
Yes, I think morality as such, like language, gives our species some adaptive advantages. — 180 Proof
That much is clear but it is not evidently the case in the article. — Amity
It is not always easy to separate the different prejudices. — Amity
I would be hard to imagine a funnier response than Banno's above — AmadeusD
Locke for instance is probably motivated in his rejection of innate ideas and the Cambridge Platonists by political concerns. — Count Timothy von Icarus
I don't know how easy it is to separate these — Count Timothy von Icarus
I am not sure how you reach the conclusions you do, that this is a pretence, or harmful lies. — Amity
You consider this is not philosophy being done but politics? — Amity
The aim, then, of feminist epistemology is both the eradication of epistemology as a going concern with issues of truth, rationality, and knowledge and the undermining of gender categories.
Nancy Tuana (2003) has developed Charles Mills’s concept of “epistemologies of ignorance” by looking at the ways in which ignorance, rather than knowledge, is constructed by studies of sexuality and public school sex education programs.
What’s the difference between philosophically informed politics and politically informed philosophy? — Joshs
If alternative universes in the physical multiverse are structurally similar to nonstandard models/universes in the arithmetical multiverse, then alternative universes are not similar to galaxies.
While the distance between galaxies is finite, there is no legitimate notion of distance between universes. The distance in between universes is "infinite" or "inapplicable" (whatever that may mean). It is not possible to reach them by physically traveling to them. With galaxies, you conceivably can.
I was trying to be helpful — Tarskian
This is not math. — Tarskian
Where exactly is the general solution for the quartic polynomial implemented in the source code of the Maxima computer algebra system? — Tarskian
Perhaps you're unfamiliar with the existance of sexual assault. — LuckyR
So your 'scoring' is not about winning a philosophical argument against any other player. — Amity
Why is that a concern for you? And why did you place quotation marks around the word philosophy? — Amity
Not sure how what you linked to doesn’t count as philosophy. — Joshs
If you liken it to tennis then it is a game to be won or lost — Amity
I really don't see the need to converse with someone like you. — Tarskian
I thought that you wanted me to help you find a new job?
I am quite good at networking but not that good. So, give me some more time to pull off the impossible.
By the way, does anybody want to hire him?
He's been looking for a new job for ages now but he keeps failing at the first interview. — Tarskian
trampling the bodily autonomy of an adult human — LuckyR
But Pythagoras was the first person who invented the term
Philosophy, and who called himself a philosopher; when he was conversing
at Sicyon with Leon, who was tyrant of the Sicyonians or of the
Phliasians (as Heraclides Ponticus relates in the book which he wrote
about a dead woman); for he said that no man ought to be called wise,
but only God. For formerly what is now called philosophy (φιλοσοφία) was
called wisdom (σοφία), and they who professed it were called wise men
(σοφοὶ), as being endowed with great acuteness and accuracy of mind; but
now he who embraces wisdom is called a philosopher (φιλόσοφος).
Voting for far-right politicians, i.e. the modern national-socialists, is the national European rebellion against the absurd, of a society that will ultimately commit suicide. — Tarskian
Religion does not destroy anybody's freedom. Religion just reminds you of the fact that some forms of freedom are fake. If you do not want to keep the laws of God, then don't. Religion merely reminds you of the fact that it will backfire, if not later in this life, then in a later life. — Tarskian
If I've understood, your argument shows what the sum of the infinite series is. — Ludwig V