godelian wrote: ↑Mon Apr 15, 2024 6:41 am
Veritas Aequitas wrote: ↑Mon Apr 15, 2024 5:30 am
If it is 'real' then it can be deal with scientifically, either speculated or theorized based in the principle of empirical possibility.
Historical facts are empirical but cannot be tested either. They are justified by witness depositions. Science is not the only method, even when it is about the physical universe. A lot of claims about the physical universe cannot be tested. Testability is the exception and not the rule.
For any Framework and System [FS], there are a varying degrees of credibility and objectivity within itself [intra-]. Example there is a difference in terms of reality if we compare 'water is H20' [testable and repeatable] which very credible to the extreme the Big Bang Theory or Evolution Theory [not testable and repeatable].
As such when we compare the credibility and objectivity in terms of inter-FS, we have to compare them in terms at their best.
The best of mathematics cannot be as realistic as the best of science.
In addition, science is empirical which carry a significant weightage in terms of reality while mathematics whilst true cannot be highly realistic.
If I rate the best of science with a 100/100 [index] degree of reality, I would get a rating of 20/100 for mathematics in terms of degrees of reality.
Note this crucial threads:
Methodology of Rating Objectivity of FSK
viewtopic.php?p=676756&hilit=weight#p676756
Criteria in Rating Credibility & Objectivity of a FSK
viewtopic.php?t=41040
Veritas Aequitas wrote: ↑Mon Apr 15, 2024 5:30 am
On the other hand, with perfect circles, perfect God, they are not empirically possible, thus it is a non-starter to question whether they are real.
Mathematical realism is not about empirical entities but its objects are nonetheless very real.
Note if rated in terms of reality, mathematics is 20/100 compared to science at 100/100 indexed as the gold standard.
Veritas Aequitas wrote: ↑Mon Apr 15, 2024 5:30 am
There are two senses of 'prove' and proof, i.e.
1. Ordinary sense
2. Mathematical sense.
When I refer to scientific proof, it meant verifying [testing] and justifying the claim via the scientific method.
Science uses the term "proof" in a mathematical sense. It simply constitutes abuse of terminology to use the layman meaning for "proof" in the context of science. Furthermore, the informal meaning of "proof" is plain wrong. Furthermore, science is is falsificationist and not verificationist. You are almost a century behind on the epistemology of science. Science does not confirm by verifying:
https://en.wikipedia.org/wiki/Falsifiability
Falsifiability is a deductive standard of evaluation of scientific theories and hypotheses, introduced by the philosopher of science Karl Popper in his book The Logic of Scientific Discovery (1934).[ B] A theory or hypothesis is falsifiable (or refutable) if it can be logically contradicted by an empirical test.
Popper emphasized the asymmetry created by the relation of a universal law with basic observation statements[C] and contrasted falsifiability to the intuitively similar concept of verifiability that was then current in logical positivism. He argued that the only way to verify a claim such as "All swans are white" would be if one could theoretically observe all swans,[D] which is not possible. On the other hand, the falsifiability requirement for an anomalous instance, such as the observation of a single black swan, is theoretically reasonable and sufficient to logically falsify the claim.
Science does not look for examples that confirm a theory but for counterexamples that invalidate it. Science eventually always finds these counterexamples. Hence, all scientific theories are deemed to be mathematically false. Therefore, the very idea that science would be the benchmark for truth is simply absurd.
The above are very contentious issues.
Ultimately the question is the verification and justification of what is real as supported by arguments based on empirical evidences where science is the gold standard.
If science is not the gold standard [with critical philosophy], what else? Theology, astrology?
In science itself, mathematics is the gold standard for truth. So, your views are circular.
Science itself is the gold standard for reality, fact, truth and objectivity.
The most critical criteria for science is the empirical and empirical possibility not mathematics which is not based on the empirical but merely human invented axioms.
Experimental testing does not yield absolute certainty. It can certainly never be used to attack mathematical proof. You are the only one who tries that. Furthermore, your definition for the term "reality" is also flawed. Abstractions are real. They are not physical but they are perfectly real. You are trying to shoehorn absurd arguments into some kind of failed proof that "God does not exist". The question cannot be addressed by science, simply because there is nothing to test. Furthermore, the fact that there is nothing to test, does not make the claim false. For example, there is nothing to test about history.
Another example. What you can see on your computer screen, is real. It is not physical but it is real nonetheless. Most jobs revolve around dealing with information on a computer screen. If you cannot deal with abstractions or virtualities -- that only exist on a computer screen -- then that is a you-problem.
Science is NEVER about absolute certainty.
In any case, absolutely absolute-certainty is an impossibility in terms of reality.
Science do not attack mathematics.
It is up to each FS to demonstrate its credibility and objectivity.
As stated science is the gold standard which is very evident.
In the case of convicting a murderer, evidence based on forensic science [DNA, etc.] would definitely be more credible to the jury or judge than say, based on hearsays, witnesses' statements, physical observations, etc.
Note the case of Einstein Theory of Relativity first proven by mathematics.
But it is only proven [justified] to be convincingly true and real on the production of empirical evidences to confirm the mathematical model.
Arthur Eddington proved Einstein's theory of general relativity during a solar eclipse in 1919. He observed that light from distant stars was bent as it passed the sun. This bending of light was predicted by Einstein's theory, which stated that gravity can warp space and time, causing light to follow a curved path. Eddington's observations matched Einstein's predictions, providing strong evidence for the theory.
Abstraction are real?
You seem to be ignorant of the finer nuances of reality in terms of abstractions versus the particulars.
Abstraction has its advantages in certain circumstances [communication, logic, etc.] but the realities of the abstracted objects are highly compromised.
A group-of-humans could be an abstraction of say 10-humans but what is more realistic are the particular features, characteristics, personalities of each individual person.
The "apple" on the table is an abstraction within the biological FS, but the real particular apple is more complicated from being merely 'an apple'. Every individual apple is different in terms of 'size' color, shape taste, number of molecules, atoms, & quarks, state of ripeness, etc.