godelian wrote: ↑Mon Dec 02, 2024 8:39 am
Veritas Aequitas wrote: ↑Mon Dec 02, 2024 8:26 am
The mathematical FS does not confirm what is real.
You do not understand mathematics at all.
https://www.rep.routledge.com/articles/ ... matics/v-1
Mathematical realism is the view that the truths of mathematics are objective, which is to say that they are true independently of any human activities, beliefs or capacities. As the realist sees it, mathematics is the study of a body of necessary and unchanging facts, which it is the mathematician’s task to discover, not to create. These form the subject matter of mathematical discourse: a mathematical statement is true just in case it accurately describes the mathematical facts.
An important form of mathematical realism is mathematical Platonism, the view that mathematics is about a collection of independently existing mathematical objects.
You did not provide the full text from that quote:
https://www.rep.routledge.com/articles/ ... matics/v-1
Mathematical realism is the view that the truths of mathematics are objective, which is to say that they are true independently of any human activities, beliefs or capacities. As the realist sees it, mathematics is the study of a body of necessary and unchanging facts, which it is the mathematician’s task to discover, not to create. These form the subject matter of mathematical discourse: a mathematical statement is true just in case it accurately describes the mathematical facts.
An important form of mathematical realism is mathematical Platonism, the view that mathematics is about a collection of independently existing mathematical objects. Platonism is to be distinguished from the more general thesis of realism, since the objectivity of mathematical truth does not, at least not obviously, require the existence of distinctively mathematical objects.
Realism is in a fairly clear sense the ‘natural’ position in the philosophy of mathematics, since ordinary mathematical statements make no explicit reference to human activities, beliefs or capacities.
Because of the naturalness of mathematical realism, reasons for embracing antirealism typically stem from perceived problems with realism.
These potential problems concern our knowledge of mathematical truth, and the connection between mathematical truth and practice.
The antirealist argues that the kinds of objective facts posited by the realist would be inaccessible to us, and would bear no clear relation to the procedures we have for determining the truth of mathematical statements.
If this is right, then realism implies that mathematical knowledge is inexplicable.
The challenge to the [mathematical] realist is to show that the objectivity of mathematical facts does not conflict with our knowledge of them, and to show in particular how our ordinary proof-procedures can inform us about these facts.
As indicated above, mathematical realism is problematic in terms of realness.
There is no way, the mathematical realists can show there is a thing-in-itself that exists absolutely mind-independent.
Mathematical realism is a subset of a philosophical realism which is grounded on an illusion [transcendental, not empirical].
Mathematical realism [subset of philosophical realism] is chasing an illusion.
Why Philosophical Realism is Illusory
viewtopic.php?t=40167
Your dogmatic claim of mathematical realism has a biological, evolutionary and psychological origin resulting from an existential crisis and terror within. If you give up this clinging to your dogmatic belief of mathematic realism, the terror within will manifests.
Theistic realism [God exists as real] as with mathematical realism is a subset of philosophical realism. This is why when theistic realism is threatened, the pains and terror is so terrific that they have use terror to stop the self-invented threat to relieve the subliminal terror & pains within.
This theistic related terror and so evident with some [150 millions] believers.
This can be easily tested and is reproducible, e.g. try drawing cartoons of the prophet in a square somewhere in Afghanistan. You deny this?