If the difference between faith and reason isn't obvious to people — ssu
https://en.m.wikipedia.org/wiki/Foundationalism
Identifying the alternatives as either circular reasoning or infinite regress, and thus exhibiting the regress problem, Aristotle made foundationalism his own clear choice, positing basic beliefs underpinning others.
https://en.m.wikipedia.org/wiki/Basic_belief
Beliefs therefore fall into two categories:
- Beliefs that are properly basic, in that they do not depend upon justification of other beliefs, but on something outside the realm of belief (a "non-doxastic justification").
- Beliefs that derive from one or more basic beliefs, and therefore depend on the basic beliefs for their validity.
We accept science and math because they work — Tom Storm
My point is that math demonstrates its utility — Tom Storm
We still can't demonstrate that there are any gods. We can demonstrate that math works. We seem unable to get past this point. — Tom Storm
Yes, it can be but that formulation is not popular – though it's formerly my preferred position (while quite reasonable, it's too narrow in scope): — 180 Proof
https://en.m.wikipedia.org/wiki/Atheism
Atheism, in the broadest sense, is an absence of belief in the existence of deities. Less broadly, atheism is a rejection of the belief that any deities exist. In an even narrower sense, atheism is specifically the position that there are no deities.
I'm not a foundationalist. — Tom Storm
We do not say there is no god, that would be making a positive claim. — Tom Storm
For many, atheism is about belief not knowledge. — Tom Storm
https://en.wikipedia.org/wiki/Gettier_problem
The JTB account holds that knowledge is equivalent to justified true belief; if all three conditions (justification, truth, and belief) are met of a given claim, then we have knowledge of that claim.
The quesion we are addressing is - is there good reason to belive in god the way there are good reasons to believe in math? — Tom Storm
Religion all over the world behaves like a political party - theism being incidental to its machinations — Tom Storm
https://en.wikipedia.org/wiki/Mandate_of_Heaven
The Mandate of Heaven (Chinese: 天命; pinyin: Tiānmìng; Wade–Giles: T'ien1-ming4; lit. 'Heaven's command') is a Chinese political ideology that was used in Ancient China and Imperial China to legitimize the rule of the king or emperor of China.[1] According to this doctrine, Heaven (天, Tian) bestows its mandate[a] on a virtuous ruler. This ruler, the Son of Heaven, was the supreme universal monarch, who ruled Tianxia (天下; "all under heaven", the world).[3] If a ruler was overthrown, this was interpreted as an indication that the ruler was unworthy and had lost the mandate.[4]
The difference is it misses a key factor. Demonstration of effectiveness. We have good reasons to accept math and the axioms because we can demonstrate their effectiveness. Anyone can do this at any time. — Tom Storm
https://writings.stephenwolfram.com/2014/08/computational-knowledge-and-the-future-of-pure-mathematics/
So how big is the historical corpus of mathematics? There’ve probably been about 3 million mathematical papers published altogether—or about 100 million pages, growing at a rate of about 2 million pages per year. And in all of these papers, perhaps 5 million distinct theorems have been formally stated.
We can't even agree on which gods or why gods or how gods. — Tom Storm
No one has asked for a "mathematical proof" — 180 Proof
only you have offered one that amounts to nothing more than a "higher-order modal" tautology. — 180 Proof
By "faith" I mean worship of supernatural mysteries e.g. "a god" (re: OP), not mere (un/warranted) trust in a usage or practice. Context matters. — 180 Proof
"Godlike" (e.g. Spinoza's metaphysical Deus, sive natura) is not equivalent to any supernatural god (e.g. "God of Abraham") so this "proof" is theologically irrelevant. — 180 Proof
More specifically, his argument consists of some undecidable (i.e. disputable) formal axioms — 180 Proof
https://en.wikipedia.org/wiki/Undecidable_problem
In computability theory and computational complexity theory, an undecidable problem is a decision problem for which it is proved to be impossible to construct an algorithm that always leads to a correct yes-or-no answer.
even if valid, it is not sound — 180 Proof
nothing nonformal, or concrete, is "proven". — 180 Proof
This might shed more light on where you think Wittgenstein went wrong. — Joshs
Could you provide your own critique of Platonic explanations of the mathematics, lie that of Goedel, or the correspondence theory of truth? This might shed more light on where you think Wittgenstein went wrong. — Joshs
https://en.wikipedia.org/wiki/Remarks_on_the_Foundations_of_Mathematics
Wittgenstein wrote
I imagine someone asking my advice; he says: "I have constructed a proposition (I will use 'P' to designate it) in Russell's symbolism, and by means of certain definitions and transformations it can be so interpreted that it says: 'P is not provable in Russell's system'. Must I not say that this proposition on the one hand is true, and on the other hand unprovable? For suppose it were false; then it is true that it is provable. And that surely cannot be! And if it is proved, then it is proved that it is not provable. Thus it can only be true, but unprovable." Just as we can ask, " 'Provable' in what system?," so we must also ask, "'True' in what system?" "True in Russell's system" means, as was said, proved in Russell's system, and "false" in Russell's system means the opposite has been proved in Russell's system.—Now, what does your "suppose it is false" mean? In the Russell sense it means, "suppose the opposite is proved in Russell's system"; if that is your assumption you will now presumably give up the interpretation that it is unprovable. And by "this interpretation" I understand the translation into this English sentence.—If you assume that the proposition is provable in Russell's system, that means it is true in the Russell sense, and the interpretation "P is not provable" again has to be given up. If you assume that the proposition is true in the Russell sense, the same thing follows. Further: if the proposition is supposed to be false in some other than the Russell sense, then it does not contradict this for it to be proved in Russell's system. (What is called "losing" in chess may constitute winning in another game.)
Just as we can ask, " 'Provable' in what system?," so we must also ask, "'True' in what system?"
If you assume that the proposition is provable in Russell's system, that means it is true in the Russell sense, and the interpretation "P is not provable" again has to be given up.
For Wittgenstein, the mathematician is an inventor not a discoverer, and mathematical proposition are normative. — Richard B
https://en.wikipedia.org/wiki/Ludwig_Wittgenstein%27s_philosophy_of_mathematics
Ludwig Wittgenstein considered his chief contribution to be in the philosophy of mathematics, a topic to which he devoted much of his work between 1929 and 1944.
https://philpapers.org/archive/FLOOSW.pdf
Wittgenstein's remarks on the first incompleteness theorem 1 have often been denounced, and mostly dismissed. Despite indirect historical evidence to the contrary," it is a commonplace that Wittgenstein rejected Godel's proof because he did not, or even could not, understand it.
https://en.wikipedia.org/wiki/G%C3%B6del%27s_incompleteness_theorems
On their release, Bernays, Dummett, and Kreisel wrote separate reviews on Wittgenstein's remarks, all of which were extremely negative.[38] The unanimity of this criticism caused Wittgenstein's remarks on the incompleteness theorems to have little impact on the logic community.In 1972, Gödel stated: "Has Wittgenstein lost his mind? Does he mean it seriously? He intentionally utters trivially nonsensical statements", and wrote to Karl Menger that Wittgenstein's comments demonstrate a misunderstanding of the incompleteness theorems writing:
It is clear from the passages you cite that Wittgenstein did not understand [the first incompleteness theorem] (or pretended not to understand it). He interpreted it as a kind of logical paradox, while in fact is just the opposite, namely a mathematical theorem within an absolutely uncontroversial part of mathematics (finitary number theory or combinatorics).[39]
https://plato.stanford.edu/entries/wittgenstein-mathematics/
From this it follows that all other apparent propositions are pseudo-propositions of various types and that all other uses of ‘true’ and ‘truth’ deviate markedly from the truth-by-correspondence (or agreement) that contingent propositions have in relation to reality. Thus, from the Tractatus to at least 1944, Wittgenstein maintains that “mathematical propositions” are not real propositions and that “mathematical truth” is essentially non-referential and purely syntactical in nature.
Sour Grapes — Vera Mont
Perhaps you have learned a lot but still don't know everything there is to know, and perhaps you have made some wrong assumptions. — fishfry
https://writings.stephenwolfram.com/2014/08/computational-knowledge-and-the-future-of-pure-mathematics
Curating the math corpus. So how big is the historical corpus of mathematics? There’ve probably been about 3 million mathematical papers published altogether—or about 100 million pages, growing at a rate of about 2 million pages per year. And in all of these papers, perhaps 5 million distinct theorems have been formally stated.
Numbers are not "real". They are abstractions. Their use ultimately requires faith in Peano's axioms. So, you can't do math without faith. In all practical terms, you can't do science or technology without at least some math.Whatever is real does not require faith — 180 Proof
Gödel has proved the existence of a Godlike entity from higher-order modal logic.only a god can "prove a god". — 180 Proof
Only a god can disprove the existence of God.
There obviously many features of h.sapiens that are biological in origin - practically everything about human physiology and anatomy can be understood through the lens of evolutionary biology. — Wayfarer
But what about the religious experience, in particular, can be understood through that perspective? — Wayfarer
So let’s get clear on what you mean by ‘designed’. Where do you think your idea fits into that overall set of ideas, or does it not? — Wayfarer
John von Neumann's universal constructor is a self-replicating machine in a cellular automaton (CA) environment. It was designed in the 1940s, without the use of a computer. The fundamental details of the machine were published in von Neumann's book Theory of Self-Reproducing Automata, completed in 1966 by Arthur W. Burks after von Neumann's death.[2] It is regarded as foundational for automata theory, complex systems, and artificial life.[3][4] Indeed, Nobel Laureate Sydney Brenner considered Von Neumann's work on self-reproducing automata (together with Turing's work on computing machines) central to biological theory as well, allowing us to "discipline our thoughts about machines, both natural and artificial."
Can anyone prove a god, I enjoy debates and wish to see the arguments posed in favour of the existence of a god. — CallMeDirac
Most criticism of Gödel's proof is aimed at its axioms: as with any proof in any logical system, if the axioms the proof depends on are doubted, then the conclusions can be doubted. It is particularly applicable to Gödel's proof – because it rests on five axioms, some of which are considered questionable. A proof does not necessitate that the conclusion be correct, but rather that by accepting the axioms, the conclusion follows logically.
But they’re not designed - not unless you’re defending an intelligent designer. Are you? — Wayfarer
Biology operates through mechanisms and principles that are not designed or created by humans, whereas technology is inherently a product of human creativity and engineering. — Wayfarer
Assuming you don't mean "firmware" literally; sticking to the metaphor, what is the soul? Does it not also code the hardware so that it operated effectively? Is the soul, software? The operating system for the software? — ENOAH
Is it necessarily instilled in us biologically? Or is that a favored interpretation because your's is currently a physicalist view?
Could it have been instilled in each human soul; this innate desire for religion? — ENOAH
What technology are you referring to? I thought we were discussing biology. — Wayfarer
Designed by whom or what? — Wayfarer
Humans are biologically the same everywhere, but culturally and intellectually they’re vastly different. — Wayfarer
If that’s so, you should be able to provide a citation. — Wayfarer
Quran 30:30 (Ar-Rum): So be steadfast in faith in all uprightness ˹O Prophet˺—the natural Way of Allah which He has instilled in ˹all˺ people. Let there be no change in this creation of Allah. That is the Straight Way, but most people do not know.
So why bring Islam into it? why not just stick to biology? — Wayfarer
Do Muslims believe that it’s biological firmware? Or doesn’t it matter whether they believe it? — Wayfarer
Do you think Muslims would agree that ‘fitrah’ is a biological drive? — Wayfarer
https://en.m.wikipedia.org/wiki/Instinct
Instinct is the inherent inclination of a living organism towards a particular complex behaviour, containing innate (inborn) elements.
For example, people may be able to modify a stimulated fixed action pattern by consciously recognizing the point of its activation and simply stop doing it, whereas animals without a sufficiently strong volitional capacity may not be able to disengage from their fixed action patterns, once activated.
It doesn’t need to be invalidated. It’s simply irrelevant, even if it is the case. — Wayfarer
Spolsky's law: All non-trivial abstractions, to some degree, are leaky.
But I don’t know if on that basis you could say that language is biological feature — Wayfarer
studying it through the perspective biology would be more suitable than through, say, linguistics or anthropology. — Wayfarer
But why do you think that maps against biology? — Wayfarer