in natural language "A is B" can mean different things, depending on context. It can indicate class membership (people are animals), it serve as a reduction (people are [nothing other than] animals), and so on. In the case of this Spir fellow, what he has in mind would be more precisely called permanence, or more generally, invariance. That is not the same as the simple equality/identity used in logic and math. Such sloppy use of language has occasioned a lot of miserable sophistry (cf. Ayn Rand's abuse of the "principle of identity"). — SophistiCat
"an apple is an apple", but why? I do not get why any certain thing called 'x', should be 'x'. — Monist
Nirvana is a state of mind. — Pfhorrest
See. This is what happens when one hews to the principle of identity as some kind of metaphysical postulate. You have to leave the world behind. — StreetlightX
So, such things as logical principles, scientific laws, mathematical objects, are all essential to empirical science, but they don't necessarily exist in time and space either.
Ideas are not real, precisely because they don't exist in time. That's what it means to be real, to exist in space and time.
To exist out of space is to exist nowhere. To exist nowhere or never means not existing at all. Ok?
Unicorn and number 3 do exists in my mind and they are real as electrochemical dynamics of my brain. — Zelebg
Not at all. Numbers are not real as ‘electrochemical dynamics’. Here you’re mistaking an event for a representation.
Neural dynamics don’t ‘represent’ anything, they’re not signs. Science has sought to understand the neural events triggered by simple leaning tasks through scans, and no regularities or patterns can be found at all. It’s not as if some pattern of neural events ‘stands for’ a number or other kind of concept. This idea that concepts are neural events is the myth that underlies materialism, but it’s not true.
All you’re expressing is the belief that ‘everything exists in time and space’. But you’re not seeing that time and space themselves are co-created by the observing mind, they don’t have a reality independent of cognition. This is one of the cardinal points of Kant’s Critique of Pure Reason.
It would be interesting to hear if there are any non-self-evident axioms outside abstractions in the field of mathematics. — Zelebg
The Greeks were very adept at constructing polygons, but it took the genius of Gauss to mathematically determine which constructions were possible and which were not. As a result, Gauss determined that a series of polygons (the smallest of which has 17 sides; the heptadecagon) had constructions unknown to the Greeks. Gauss showed that the constructible polygons (several of which are illustrated above) were closely related to numbers called the Fermat primes. — Wolfram
Sure. X is your name. But then what if someone else is named Mac? The differences between the two Macs is their differing combined variables, not their names. Which Mac are we talking about? The one with X, Y and Z as opposed to X, Y, and B. What makes you unique isn't your name, it is your combined variables.You are pretty much correct but why is x=x a problem? Sure x = a number of combined variables. But that also means that x is a particular thing. And no other thing is that particular thing so in making this distinction we must also accept that x is unique; x is itself. — Mac
If I know x, or if I know your name is Mac, then why would I need to know x, or your name again? I need to know what x, or Mac, entails to know what is unique about x, or Mac.My biggest question to you is "why should x=x be something you don't already know?" That's the point. I brought biology into the conversation because of its relevance to corresponding mathematical models. x=x is obvious to us because we evolved for it to be. Otherwise we would not have survived in the same way. — Mac
We are conditioned into naturalism and scientific realism by consensus, and it's often hard to question. — Wayfarer
Empirical theories need to be validated against observational evidence - although even that is now being disputed - but metaphysical postulates cannot. — Wayfarer
So, such things as logical principles, scientific laws, mathematical objects, are all essential to empirical science, but they don't necessarily exist in time and space either. Rather, they form part of the architecture of reason, by means of which judgements about time and space are arrived at. — Wayfarer
My first general remark would be, aren't we always conditioned into something? I get that you are not a big fan of scientific realism and naturalism, but it's not as if past times were free of conditioning, to put it mildly. — ChatteringMonkey
get that you are not a big fan of scientific realism and naturalism, but it's not as if past times were free of conditioning, to put it mildly. At least the scientific method comes with the tools to question itself. — ChatteringMonkey
Concerning metaphysics, I kind of agree with Nietzsche's view on that, namely that most of it springs from the psychology and the moral views of people. Absent any way to verify it, what informs those metaphysical views really? — ChatteringMonkey
About the last quote, of course the language we use to describe the world doesn't exist in space and time. It's merely a description of world, not the world itself. The laws themselves do not exist, right? — ChatteringMonkey
well we can argue what x consists of all year but x is still x — Mac
Like I said, that doesn't show us anything that we didn't already know. x = x is no different than just stating x.well we can argue what x consists of all year but x is still x — Mac
Showing something that we already know is redundant. Redundant information is not useful.Why do you think it needs to show us something we don't know? This misunderstanding you have is why I brought in the biological connection. — Mac
that doesn't show us anything that we didn't already know. x = x is no different than just stating x. — Harry Hindu
It's not as if the world exists objectively apart from us as subjects. Subject and object are co-arising or co-defining. — Wayfarer
Merely declaring so is much like saying the Moon didn't exist until onlookers noticed it in the sky. — jorndoe
We often discussed his notions on objective reality. I recall that during one walk Einstein suddenly stopped, turned to me and asked whether I really believed that the moon exists only when I look at it.
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