rather I am expressing skepticism towards those who would claim mathematics is 'objectively real', and also pointing out the contradiction in the term 'mathematical platonism'.
Does that make sense? — Tzeentch
If Platonism seems to ‘undercut’ empiricism, it does so only by occupying the opposing pole of the binary implicating both physicalism and platonism within the same tired dualistic subject-object metaphysics. — Joshs
see both numbers and physical things as pragmatic constructions, neither strictly ideal nor empirical, subjective nor objective, inner nor outer, but real nonetheless? — Joshs
Some scholars feel very strongly that mathematical truths are “out there,” waiting to be discovered—a position known as Platonism. It takes its name from the ancient Greek thinker Plato, who imagined that mathematical truths inhabit a world of their own—not a physical world, but rather a non-physical realm of unchanging perfection; a realm that exists outside of space and time. Roger Penrose, the renowned British mathematical physicist, is a staunch Platonist. In The Emperor’s New Mind, he wrote that there appears “to be some profound reality about these mathematical concepts, going quite beyond the mental deliberations of any particular mathematician. It is as though human thought is, instead, being guided towards some external truth—a truth which has a reality of its own...”
Many mathematicians seem to support this view. The things they’ve discovered over the centuries—that there is no highest prime number; that the square root of two is an irrational number; that the number pi, when expressed as a decimal, goes on forever—seem to be eternal truths, independent of the minds that found them. If we were to one day encounter intelligent aliens from another galaxy, they would not share our language or culture, but, the Platonist would argue, they might very well have made these same mathematical discoveries.
“I believe that the only way to make sense of mathematics is to believe that there are objective mathematical facts, and that they are discovered by mathematicians,” says James Robert Brown, a philosopher of science recently retired from the University of Toronto. “Working mathematicians overwhelmingly are Platonists. They don't always call themselves Platonists, but if you ask them relevant questions, it’s always the Platonistic answer that they give you.”
Other scholars—especially those working in other branches of science—view Platonism with skepticism. Scientists tend to be empiricists; they imagine the universe to be made up of things we can touch and taste and so on; things we can learn about through observation and experiment. The idea of something existing “outside of space and time” makes empiricists nervous: It sounds embarrassingly like the way religious believers talk about God, and God was banished from respectable scientific discourse a long time ago.
Platonism, as mathematician Brian Davies has put it, “has more in common with mystical religions than it does with modern science.” The fear is that if mathematicians give Plato an inch, he’ll take a mile. If the truth of mathematical statements can be confirmed just by thinking about them, then why not ethical problems, or even religious questions? Why bother with empiricism at all?
Massimo Pigliucci, a philosopher at the City University of New York, was initially attracted to Platonism—but has since come to see it as problematic. If something doesn’t have a physical existence, he asks, then what kind of existence could it possibly have? “If one ‘goes Platonic’ with math,” writes Pigliucci, empiricism “goes out the window.” (If the proof of the Pythagorean theorem exists outside of space and time, why not the “golden rule,” or even the divinity of Jesus Christ?) — What is Math?
Mathematical platonism has considerable philosophical significance. If the view is true, it will put great pressure on the physicalist idea that reality is exhausted by the physical. For platonism entails that reality extends far beyond the physical world and includes objects that aren’t part of the causal and spatiotemporal order studied by the physical sciences.[1] Mathematical platonism, if true, will also put great pressure on many naturalistic theories of knowledge. For there is little doubt that we possess mathematical knowledge. The truth of mathematical platonism would therefore establish that we have knowledge of abstract (and thus causally inefficacious) objects. This would be an important discovery, which many naturalistic theories of knowledge would struggle to accommodate. — SEP, Platonism in the Philosophy of Mathematics
Reducing truth to a binary seems to edge us towards primarily defining truth in terms of "propositions/sentences" and, eventually, formalism alone, and so deflation. This is as opposed to primarily defining truth in terms of knowledge/belief and speech/writing.
The key difference is that, in the latter, there is a knower, a believer, a speaker, or a writer, whereas propositions generally get transformed into isolated "abstract objects" (presumed to be "real" or not), that exist unconnected to any intellect. Such propositions are true or false (there is no gradation) simpliciter. Such a view seems to require some dubious assumptions. — Count Timothy von Icarus
The essential unity of the thinker with the thought, the knower with the world, can only be shown by rejecting, as Kimhi does, the idea that a proposition can be true or false in the absence of some context of assertion. — J
Sebastian Rödl — J
everything that makes you you... — praxis
The problem of base load power isn't just corporate propaganda. — ssu
However, the "hard question" remains : by what physical process does a brain construct a worldview? — Gnomon
In that case, is natural Matter their substitute for belief in a super-natural Ideal realm? — Gnomon
"Thus materialism is the attempt to explain what is immediately given us by what is given us indirectly." — Gnomon
In fact, what we regard as the physical world is “physical” to us precisely in the sense that it acts in opposition to our will and constrains our actions. The aspect of the universe that resists our push and demands muscular effort on our part is what we consider to be “physical”. On the other hand, since sensation and thought don’t require overcoming any physical resistance, we consider them to be outside of material reality. It is shown in the final chapter ('Mind, Life and Universe') that this is an illusory dichotomy, and any complete account of the universe must allow for the existence of a nonmaterial component which accounts for its unity and complexity. — Pinter, Charles. Mind and the Cosmic Order: How the Mind Creates the Features & Structure of All Things, and Why this Insight Transforms Physics (p. 6). Springer International Publishing. Kindle Edition.
I see the concept of the 'middle way' as a principle for careful thinking, but wonder how may be it seen as as a basis for ethics? How useful is the idea? — Jack Cummins
Of all systems of philosophy which start from the object, the most consistent, and that which may be carried furthest, is simple materialism. It regards matter, and with it time and space, as existing absolutely, and ignores the relation to the subject in which alone all this really exists. It then lays hold of the law of causality as a guiding principle or clue, regarding it as a self-existent order (or arrangement) of things, veritas aeterna, and so fails to take account of the understanding, in which and for which alone causality is. 1
It seeks the primary and most simple state of matter, and then tries to develop all the others from it; ascending from mere mechanism, to chemistry, to electricity, to the vegetative and then to the animal kingdom. And if we suppose this to have been done, the last link in the chain would be animal sensibility—that is, knowledge—which would consequently now appear as a mere modification or state of matter produced by causality. Now if we had followed materialism thus far with clear ideas, when we reached its highest point we would suddenly be seized with a fit of the inextinguishable laughter of the Olympians. As if waking from a dream, we would all at once become aware that its final result—knowledge, which it reached so laboriously, was presupposed as the indispensable condition of its very starting-point, mere matter; and when we imagined that we thought 'matter', we really thought only the subject that perceives matter; the eye that sees it, the hand that feels it, the understanding that knows it.
Thus the tremendous petitio principii (= circular reasoning) reveals itself unexpectedly; for suddenly the last link is seen to be the starting-point, the chain a circle, and the materialist is like Baron Münchausen who, when swimming in water on horseback, drew the horse into the air with his legs, and himself also by his cue. The fundamental absurdity of materialism is that it starts from the objective, and takes as the ultimate ground of explanation something objective, whether it be matter in the abstract, simply as it is thought, or after it has taken form, is empirically given—that is to say, is substance, the chemical element with its primary relations. Some such thing it takes, as existing absolutely and in itself, in order that it may evolve organic nature and finally the knowing subject from it, and explain them adequately by means of it; whereas in truth all that is objective is already determined as such in manifold ways by the knowing subject through its forms of knowing, and presupposes them; and consequently it entirely disappears if we think the subject away. 2
Thus materialism is the attempt to explain what is immediately given us by what is given us indirectly. All that is objective, extended, active—that is to say, all that is material—is regarded by materialism as affording so solid a basis for its explanation, that a reduction of everything to this can leave nothing to be desired (especially if in ultimate analysis this reduction should resolve itself into action and reaction). But ...all this is given indirectly and in the highest degree determined, and is therefore merely a relatively present object, for it has passed through the machinery and manufactory of the brain, and has thus come under the forms of space, time and causality, by means of which it is first presented to us as extended in space and active in time3. From such an indirectly given object, materialism seeks to explain what is immediately given, the idea (in which alone the object that materialism starts with exists), and finally even the will from which all those fundamental forces, that manifest themselves, under the guidance of causes, and therefore according to law, are in truth to be explained.
To the assertion that thought is a modification of matter we may always, with equal right, oppose the contrary assertion that all matter is merely the modification of the knowing subject, as its idea. Yet the aim and ideal of all natural science is at bottom a consistent materialism. The recognition here of the obvious impossibility of such a system establishes another truth which will appear in the course of our exposition, the truth that all science properly so called, by which I understand systematic knowledge under the guidance of the principle of sufficient reason, can never reach its final goal, nor give a complete and adequate explanation: for it is not concerned with the inmost nature of the world, it cannot get beyond the idea; indeed, it really teaches nothing more than the relation of one idea to another. — Arthur Schopenhauer, World as Will and Representation
I agree that consciousness is a natural process — Joshs
Kant correctly recognized that taking a strictly materialist stance depends on an idealism, since the very notion of a mind-independent object covertly smuggles in all the subjective apparatus needed to have an object appear before a subject. So realism and idealism are not opposites but versions of the same subject -based thinking. — Joshs
if you want to get beyond the realism-idealism, fact-value split, you have to be able to see value WITHIN matter, not separate from it and alongside it. — Joshs
"So in our understanding of the Universe we should recognize the existence of something other than matter. We can call that something spirit, but if we do we should remember that in Buddhism, the word "spirit" is a figurative expression for value or meaning. We do not say that spirit exists in reality; we use the concept only figuratively". — Three Philosophies, One Reality — Gnomon
It's a case well put. But how do we rule out a different approach and model all together? Does it have to be physicalism versus idealsim? Is dualistic thinking all we have to resolve our biggest quesions? I'd be interested to hear more from a rigorous, post-modern perspective assessing the foundational axioms or presuppositions that may be propping up our confusions. And if the world is entirely mind created and contingent, how do we know anything for certain about either metaphysical position? — Tom Storm
The Universe is, according to philosophers who base their beliefs on idealism, a place of the spirit. Other philosophers whose beliefs are based on a materialistic view, say that the Universe is composed of the matter we see in front of our eyes. Buddhist philosophy takes a view which is neither idealistic nor materialistic; Buddhists do not believe that the Universe is composed of only matter. They believe that there is something else other than matter. But there is a difficulty here; if we use a concept like spirit to describe that something else other than matter, people are prone to interpret Buddhism as some form of spiritualistic religion and think that Buddhists must therefore believe in the actual existence of spirit. So it becomes very important to understand the Buddhist view of the concept spirit.
I am careful to refer to spirit as a concept here because in fact Buddhism does not believe in the actual existence of spirit. So what is this something else other than matter which exists in this Universe? If we think that there is a something which actually exists other than matter, our understanding will not be correct; nothing (physical) exists outside of matter. Buddhists believe in the existence of the Universe. Some people explain the Universe as a universe based on matter. But there also exists something which we call value or meaning. A Universe consisting only of matter leaves no room for value or meaning in civilizations and cultures. Matter alone has no value. We can say that the Universe is constructed with matter, but we must also say that matter works for some purpose.
So in our understanding of the Universe we should recognize the existence of something other than matter. We can call that something spirit, but if we do we should remember that in Buddhism, the word "spirit" is a figurative expression for value or meaning. We do not say that spirit exists in reality; we use the concept only figuratively. — Three Philosophies, One Reality
//The sense of the world must lie outside the world. In the world everything is as it is, and everything happens as it does happen: in it no value exists—and if it did exist, it would have no value.
If there is any value that does have value, it must lie outside the whole sphere of what happens and is the case. For all that happens and is the case is accidental.
What makes it non-accidental cannot lie within the world, since if it did it would itself be accidental.
It must lie outside the world. — Wittgenstiein
Learning is one of the defining characteristics of our species. The drive to learn is another. We can learn. It's inconceivable that we not bother. All of us not attempt to learn anything that doesn't have a practical purpose? — Patterner
The scientific revolution of the 17th century, which has given rise to such extraordinary progress in the understanding of nature, depended on a crucial limiting step at the start: It depended on subtracting from the physical world as an object of study everything mental – consciousness, meaning, intention or purpose. The physical sciences as they have developed since then describe, with the aid of mathematics, the elements of which the material universe is composed, and the laws governing their behavior in space and time.
We ourselves, as physical organisms, are part of that universe, composed of the same basic elements as everything else, and recent advances in molecular biology have greatly increased our understanding of the physical and chemical basis of life. Since our mental lives evidently depend on our existence as physical organisms, especially on the functioning of our central nervous systems, it seems natural to think that the physical sciences can in principle provide the basis for an explanation of the mental aspects of reality as well — that physics can aspire finally to be a theory of everything.
However, I believe this possibility is ruled out by the conditions that have defined the physical sciences from the beginning. The physical sciences can describe organisms like ourselves as parts of the objective spatio-temporal order – our structure and behavior in space and time – but they cannot describe the subjective experiences of such organisms or how the world appears to their different particular points of view. There can be a purely physical description of the neurophysiological processes that give rise to an experience, and also of the physical behavior that is typically associated with it, but such a description, however complete, will leave out the subjective essence of the experience – how it is from the point of view of its subject — without which it would not be a conscious experience at all.
So the physical sciences, in spite of their extraordinary success in their own domain, necessarily leave an important aspect of nature unexplained. Further, since the mental arises through the development of animal organisms, the nature of those organisms cannot be fully understood through the physical sciences alone. Finally, since the long process of biological evolution is responsible for the existence of conscious organisms, and since a purely physical process cannot explain their existence, it follows that biological evolution must be more than just a physical process, and the theory of evolution, if it is to explain the existence of conscious life, must become more than just a physical theory. — Thomas Nagel, The Core of Mind and Cosmos
Perhaps we just don't understand the physical well enough. What's the alternative? Posit the existence of another realm? — Janus
The thing is, your 'point' is a mystification of what is a relatively simple and clear physical picture. — wonderer1
There is no need for a 'different level' for semantic content to exist on. Semantic content is attributed to linguistic media (letters, Braille, Morse code, etc.) by neural nets which have been trained to attribute semantic content to such media. — wonderer1
And yet you rely on LLMs — wonderer1
I'd expect you could come up with a way of falsifying any physicalist account of language. — wonderer1
as well as Buddhism. — Corvus
Isn't Buddhism after all based on the nihilism? — Corvus
Words are patterns of physical vibrations propagating through the air, or physical text. — wonderer1
All of Greene's books....consist of paper and ink. Is that all they are? How does the meaning they convey arise from the combination of ink and paper? — Wayfarer
The idea that life evolved naturally on the primitive Earth suggests that the first cells came into being by spontaneous chemical reactions, and this is equivalent to saying that there is no fundamental divide between life and matter. This is the chemical paradigm, a view that is very popular today and that is often considered in agreement with the Darwinian paradigm — Marcello Barbieri, What is Information?
but that is not the case. The reason is that natural selection, the cornerstone of Darwinian evolution, does not exist in inanimate matter. In the 1950s and 1960s, furthermore, molecular biology uncovered two fundamental components of life—biological information and the genetic code—that are totally absent in the inorganic world, which means that information is present only in living systems, that chemistry alone is not enough and that a deep divide does exist between life and matter. This is the information paradigm, the idea that ‘life is chemistry plus information’.
Of course I don't expect that to make any sense to anyone so unwilling to consider physicalism charitably as yourself. — wonderer1
The semantic elements in your stream of thought are physically detectable. — wonderer1
Pagels argues that John is a "gnostic gospel," which might be a bit much, but there is something to the idea. — Count Timothy von Icarus
What you say is not true. — Janus
Beyond those kinds of concerns do you think the answer to whether consciousness is physical or not could matter for any other reason? — Janus
I’ve been listening the last two years to John Vervaeke’s Awakening from the Meaning Crisis. …
— Wayfarer
Yes, I have watched most of that series. I noticed he discusses Hegel but does not have one on Schopenhauer. I think that's something revealing. — schopenhauer1
But trying to sort out what it means exactly has been...knotty. I get conflicting accounts on how it says that reality can be real or local but not both. — Darkneos
I'm pretty sure physics doesn't really have anything to say about realism, anti-realism, or idealism — Darkneos