What then about proofs that are independent of the subject? Proofs in Number Theory that are demonstrably true? For example ϕ(n),τ(n),d(n)etcϕ(n),τ(n),d(n)etc are indisputable values. They are what they are beyond any subject's opinion of them. — EnPassant
Their claim is that rather than a dualism between being and becoming, becoming is prior to being. — Joshs
Their claim is that rather than a dualism between being and becoming, becoming is prior to being. Put differently, the idea of being as encapsulated in its most ideal and exact form in A=A is an abstraction derived from a pragmatic act of reflective comparison. — Joshs
the idea of being as encapsulated in its most ideal and exact form in A=A is an abstraction derived from a pragmatic act of reflective comparison — Joshs
Neoplatonic mathematics is governed by a fundamental distinction which is, indeed, inherent in Greek science in general, but it is here most strongly formulated. According to this distinction, one branch of mathematics participates in the contemplation of that which is in no way subject to change, or to becoming and passing away. This branch contemplates that which is always such as it is and which alone is capable of being known: for that which is known in the act of knowing, being a communicable and teachable possession, must be something which is for once and for all fixed. — Greek Mathematical Thought and the Origin of Algebra
“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? — What is Math?
He goes on to suggest that 'this strategy, the very dangerous trap inherent in this mechanistic, resigned-to-living-in-denial-of-the-human-condition — Jack Cummins
becoming to me connotates teleology: This becomes that, such that “that into which this becomes” is the Aristotelian final cause of the becoming; the process of becoming moves toward its end. — javra
Only if one is a Darwinian naturalist , which neither I, Wittgenstein, Husserl nor Heidegger are. Relevance and pragmatic use for us mean something quite different from the instrumentality of adaptive utility, which is defined relative to pre-existing objective structures. For Husserl, ‘relevance’ has a platonic foundation in the synthetic associative structure of temporal acts of consciousness. Unity, identity and number all arise out of syntheses of sense based on likenesses and similarities.the idea of being as encapsulated in its most ideal and exact form in A=A is an abstraction derived from a pragmatic act of reflective comparison
— Joshs
You see how that subjectivizes and relativises the idea of reason. Reason becomes a product of an evolved brain, with no inherent reality beyond adaptive utility. — Wayfarer
“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. — Wayfarer
As usual, what's "nonsense", MU, is taking issue with something I've not claimed or implied.That's nonsense. A "practice" [ ... ] does not remove the need to make the judgements. — Metaphysician Undercover
Suppose the law of identity intends to specify that that which appears, or stands out, or else is, cannot at that very juncture be anything else but itself. In so conceiving, there is no comparison involved in any instantiation of the law of identity—because there is no multiplicity involved in givens addressed. The tree I see (A) is the tree I see (A)—this without any multiplicity in the “tree that I see” that then facilitates comparison. Reflection, then, would only occur in thoughts intending to formulate this universal principle of thought—if not also ontology—into something communicable, such as “A=A”. — javra
Also, becoming to me connotates teleology: This becomes that, such that “that into which this becomes” is the Aristotelian final cause of the becoming; the process of becoming moves toward its end. Within such perspective, “that into which this becomes” will not of itself be a becoming—such as can be claimed of that which is becoming—but will instead ontically be (here entailing being, which is self-identical at any given juncture) on account of its either relative or absolute finality. — javra
, if the final cause (as being) is requisite for the becoming, then it will not be the case that becoming is prior to being. — javra
For my money science still provides the single most reliable pathway to knowledge about what we deign to call reality. — Tom Storm
You can lead a person to science, but it doesn't mean they'll accept it. Generally to persuade people, you have to use rationality in combination with addressing their emotional feelings. Many people will often times reject rational arguments in favor of their own personal feelings, but that doesn't mean science is currently one of the most valuable tools we have to accurately assess the world.
So I do agree that science alone will not persuade or motivate most people. It it wants to do so, it must make great efforts at creating the positive emotions in people that will make them open to accepting the rationality that science has to offer. — Philosophim
Just replace "science" by "God" — AgentTangarine
The rational arguments it uses to convince others won't work if you haven't already accepted its rationality. — AgentTangarine
To what end? — Tom Storm
I'm not talking about rationality, I am talking evidence and results — Tom Storm
As I understand it, which is not well, Aristotle's ideas were developed in response to the conundrums posed by Parmenides and Zeno, which attempted to show that change must be illusory. — Wayfarer
Can such a principle even be communicated from myself to myself without reflection? And if not, then before reflection do we have a principle or law, or just a contingent experience of momentary sense? — Joshs
In other words, think about the difference between experiencing an event right now and thinking of this event as a law or principle. These are two different kinds of experiences. Making the first into the second (specifying it as a principle or law) requires a secondary act of thought. If the law or principle isnt in the actual experience of an object, it has a different purpose or use. — Joshs
What do you think? To show there is no difference between the God story and the science story of course! — AgentTangarine
but that doesn't mean God is currently one of the most valuable tools we have to accurately assess the world. — AgentTangarine
You're right, I don't think we understand each other — Tom Storm
For others money, there are other most reliable pathways. There simply is not one path which is the only enlightened one, as much as it says to be so. I realize I'm cursing in church, but that's simply how it is. — AgentTangarine
What I mean is that we don't need science to arrive at knowledge. — AgentTangarine
Reason becomes a product of an evolved brain, with no inherent reality beyond adaptive utility. — Wayfarer
I don't see why you are so averse to the idea that reason is the product of an evolved brain. — Metaphysician Undercover
However, it is crucial that we understand the limitations of that capacity to understand, because that is exactly what constitutes understanding material existence. — Metaphysician Undercover
The issue is understanding reason as 'the product of' or 'constituted by'. Certainly h. sapiens evolved and one of the abilities that evolved was abstract thought and the ability to reason. But the theory of evolution is a theory of the origin of species, not a philosophical theory of the nature of the mind, and what can be known through the faculty of reason is not necessarily explicable from the point of view of biology. When such a rationale is introduced, then it invariably turns into consideration of 'what is advantageous from the point of view of survival and reproduction'. Such considerations can't help but be reductionist. — Wayfarer
Humans are uniquely able to transcend their biological roots. As you're well aware, in the Western philosophical tradition, the soul is associated with the faculty of reason, which is thought to be uniquely associated with humans as 'the rational animal'. But as modern culture has on the whole abandoned the traditional understanding, then humans are understood through solely biological and even mechanistic metaphors. It's a popular belief that life itself is kind of a fluke event, an 'accident of nature', and that the mind is 'the product of' this accident. Even though modern people pride themselves in being 'rational', this is actually an irrationalist attitude. — Wayfarer
there is nothing to ground the idea that there is anything advantageous to the continued survival of any species. — Metaphysician Undercover
a radical difference between human beings and other animals is also a big mistake. — Metaphysician Undercover
This is the mistake of Darwinism in general, described above, which assigns special status to what we call "a species", as if a species was a thing, thereby separating the human species from other species. — Metaphysician Undercover
Then the differences between us are attributable to our material bodies, and it is not the case that a human being, through the use of reason, has any more participatory capacity in the realm of the immaterial, then any other creature. — Metaphysician Undercover
rational soul: in the thought of Aristotle, the type of soul possessed by human beings. Unlike the vegetative soul and the sensitive soul, the rational soul has the capacity for rational thought. See also nous.
It's a factual observation. Radical means 'at the root', and h. sapiens are radically different to other species, even to their simian relatives. Not in biological terms, as our kinship with the biological order is obvious and manifold, but on the grounds of attributes. — Wayfarer
'Species' are real, the term has a perfectly intelligible definition in biology, 'a group of living organisms consisting of similar individuals capable of exchanging genes or interbreeding. The species is the principal natural taxonomic unit, ranking below a genus and denoted by a Latin binomial, e.g. Homo sapiens.' — Wayfarer
You often refer to the classical texts, Aristotle, Aquinas et al, but what you say here is in direct contradiction to what they believed. — Wayfarer
That it has a definition does not make it something real. — Metaphysician Undercover
a vast number of individual living beings exist as "in between" beings — Metaphysician Undercover
[Aquinas] explains quite clearly how the human intellect is deficient because it is dependent on the material body. And, the ideas and forms which are grasped by the human intellect are distinct from the independent Forms which are proper to the Divinity. — Metaphysician Undercover
The ideas and forms of the human intellect are not properly independent and immaterial, as the divine Forms of God and the angels are. — Metaphysician Undercover
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