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Why stop at atoms? Atoms consist of electrons, protons and neutrons, and protons and neutrons consist of quarks... In my view, the new phenomenon is t...
October 27, 2019 at 17:27
But who then experienced the pain? Are we not talking about the same thing?
October 26, 2019 at 16:44
I am not sure what you mean by unitary identity, but I think my consciousness was switched off during general anesthesia because I don't remember any ...
October 26, 2019 at 16:29
Do you think that the atoms of a dead human body have these experiences? Such experiences probably exist on the level of neural structures, not atoms,...
October 26, 2019 at 15:39
A never-ending life does not necessarily entail repetition. Moreover, more complex bodies or mental structures may hold qualia we can't even imagine y...
October 21, 2019 at 23:51
Well, I'm curious about general aspects of reality and existence. I also think it would suck if I bit the dust at the end of this life and that was it...
October 21, 2019 at 20:30
Survival instinct must arise somewhere at the start of evolution, unless you assume an intelligent creator who can create living beings without a surv...
October 21, 2019 at 20:21
Hate seems to be a quale that accompanies a behavior where we resist something (it is also closely related to qualia like pain and fear). On the other...
October 19, 2019 at 17:47
Nicely put. Unfortunately, delights are sometimes replaced by horrors. My comforting hope is that the horrors as a learning experience will facilitate...
October 17, 2019 at 23:02
In a sense, everything is permanent, because its existence is logical consistency and logical consistency is timeless; a logically consistent object c...
October 17, 2019 at 21:58
I used to be amazed by the question of why there exists something rather than nothing. I am still amazed by it but I experienced some resolution when ...
October 17, 2019 at 09:48
I said that energy is mathematically related to the acceleration that the space point imparts to another space point during an interaction. It means t...
October 14, 2018 at 02:18
The kind of existence of an abstract object (property) is such that the object has instances. And the kind of existence of a concrete object is such t...
October 14, 2018 at 00:17
If you are trying to imagine where objectively existing abstract objects would exist, one answer could be: nowhere. Just as the universe exists nowher...
October 13, 2018 at 23:41
Yes, I think they exist independently of being thought because they are properties that different objects have in common; they are ways in which diffe...
October 13, 2018 at 23:10
No, an object has properties even if no one assigns them to it. Planet Earth is round no matter whether someone assigns roundness to it. It was also r...
October 13, 2018 at 13:20
Any mathematical object can be regarded as a "possible world".
October 13, 2018 at 11:22
Curvature is a geometric property of spacetime and is related by Einstein's field equation to energy. Spacetime curvature and energy determine each ot...
October 13, 2018 at 11:20
Object is something that has properties. Yes. That's the most general idea of mathematics. Is there any difference between object and subject? We don'...
October 13, 2018 at 02:51
Maybe we could say that energy density is a mapping (defined by Einstein's field equation) from spacetime curvature to real numbers at a given point i...
October 13, 2018 at 02:36
In mathematics, existence is logical consistency, so everything that is consistent exists, and exists necessarily (because it cannot be inconsistent) ...
October 13, 2018 at 01:20
Energy density is a quantity (number) that is related via Einstein's mathematical equation to spacetime curvature. Pure mathematics. Maybe G can be de...
October 13, 2018 at 01:05
Not sure if you missed my reply: https://thephilosophyforum.com/discussion/comment/219667
October 13, 2018 at 00:47
Abstract objects and their particular representations are inseparable. There cannot be one without the other. Representations cannot exist without tha...
October 13, 2018 at 00:39
If you mean truths that hold in different possible worlds, then these truths constitute a more general/more abstract/higher-order possible world.
October 13, 2018 at 00:20
Spaces are indeed traditionally studied mathematical objects and time is treated in theory of relativity as a special kind of spatial dimension, compl...
October 12, 2018 at 23:19
Your comparison isn't completely right. Finite mathematical objects exist both like the uncarved material and the carved material. I suppose you compa...
October 12, 2018 at 15:20
The relation between such an unconstrained world of math and a limited finite world is that the limited finite world is a part of the unconstrained wo...
October 12, 2018 at 13:20
If they are only perceptible by a rational mind it doesn't necessarily mean that they are inside the rational mind. They may be perceptible only by a ...
October 11, 2018 at 09:38
Only consistently defined objects can be part of the mathematical world. Axioms are properties of an object (also called axiomatic system). Axioms lik...
October 11, 2018 at 09:11
No, it defines all those orders you mentioned. But the group of points that define a line is contained in the group of all possible groups of points, ...
October 10, 2018 at 23:37
Objects that can be sensed are parts of spacetime. But what is spacetime? Theory of relativity treats spacetime as a mathematical structure, a kind of...
October 10, 2018 at 22:53
I gave you examples of objects that may exist outside of our minds and unable to be sensed: abstract objects and objects in worlds without time.
October 10, 2018 at 22:16
Then I infer that even objects that I can't sense together as a collection, in fact constitute a collection. I infer it from what collections have in ...
October 10, 2018 at 21:57
I should note though that by "set theory" I don't necessarily mean ZFC. As I clarified here, by set theory I mean all consistent versions of pure set ...
October 10, 2018 at 21:19
Too technical for me, I am no mathematician. Stanford Encyclopedia of Philosophy says: "The axioms of set theory imply the existence of a set-theoreti...
October 10, 2018 at 20:49
What objects cannot be represented through set theory? And what does it have to do with your link to small categories?
October 10, 2018 at 20:30
I don't understand. Are there mathematical objects that cannot be expressed in set theory? I heard that set theory can express all mathematical object...
October 10, 2018 at 20:20
So you are saying that there are mathematical objects that cannot be represented as sets?
October 10, 2018 at 20:07
But they can be instantiated in sets.
October 10, 2018 at 19:59
Yes. This is how I understand it: more general (more abstract) mathematical objects are instantiated in more specific mathematical objects (e.g. "geom...
October 10, 2018 at 18:45
Yes, most of it might not be beautiful or useful but we are talking about metaphysics, which I don't think depends on subjective notions of beauty or ...
October 10, 2018 at 15:53
Yes, there are various approaches to the study of relational structures. Maybe some are less comprehensive than others. Set theory seems to be the mos...
October 10, 2018 at 15:49
Mathematics is a feature of the external world, a consequence of the fact that there are differences and thus more than one object in the external wor...
October 10, 2018 at 15:37
As long as there are any objects in the external reality, there are also relations between them, in the external reality. Relations and the objects be...
October 10, 2018 at 15:32
Relations are objects that hold between other objects (those other objects may be relations or non-relations). Relations are inseparable from the obje...
October 10, 2018 at 15:24
Why not? I experience any collection of objects as a collection. You mean sensed? Why would the objective existence of anything depend on whether some...
October 10, 2018 at 15:13
It can - it is the reversed order to "smaller prior to bigger". Magnitude defines both orders. Some of those groups do.
October 10, 2018 at 14:52
So his argument is that the Platonic world of math doesn't exist because it is... uninteresting? :lol: The most general definition of mathematics I kn...
October 10, 2018 at 14:48
My experience is that collections exist even when they are loosely connected. I don't feel the need to deny their objective existence. And I am far fr...
October 09, 2018 at 20:44