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Daz

['Member']Joined: March 10, 2020 at 02:38Last active: April 05, 2020 at 18:311 discussions33 comments

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For me, I believe mathematical objects, as well as mathematical truths, exist. So I'm a Platonist. This is by analogy with the intuition that material...
March 24, 2020 at 15:22
In: Truth  — view comment
Well, to say "The cat is on the mat" means I'm thinking of a certain thing that is a cat, and of another thing that is a mat, and the first thing is o...
March 24, 2020 at 11:11
Sure, math is a social enterprise. But that's not all it is. As I see it, mathematical truth exists independent of whether there are any conscious bei...
March 24, 2020 at 11:08
So are you saying that when Georg Cantor first defined infinite sets ca. 1871 and there was great resistance among the world's mathematicians, infinit...
March 23, 2020 at 13:19
In: Truth  — view comment
What was the question again? Truth? Who said anything about being able to "describe the exact physical characteristics" of the cat or the mat? Are we ...
March 23, 2020 at 13:15
Okay, if there is a fixed computer we're using. But if the photo is say K x L pixels, and each pixel contains N bits of information, then by increasin...
March 23, 2020 at 00:39
In: Truth  — view comment
What is "the cat"? What is "the mat"? Most of the time, we know what these words mean. But what about (let's take the mat) when the mat is being fabri...
March 23, 2020 at 00:36
What does that mean, to say that the notion of vertical and horizontal lengths is incommensurate with the notion of diagonal lengths? It is somewhat s...
March 21, 2020 at 19:16
You ask why the past is immutable. But as a reason not to think of it that way, you mention only that our thoughts about the past can change. There is...
March 21, 2020 at 19:09
I wasn't explicit enough by what I meant by"scaled down versions". First of all, I'm switching from the diagonal to just continuous functions defined ...
March 19, 2020 at 09:12
I believe the future is determined regardless of what one believes.
March 19, 2020 at 08:37
I would say that this is true relative to human understanding (only) — but not in an absolute sense. Because humans experience time one instant at a t...
March 18, 2020 at 20:37
For any continuous function like whose arclength for a <= x <= b is greater than b-a, its scaled down versions will still have the same ratio of arcle...
March 18, 2020 at 20:28
As I tried to suggest in the original post, I'm *not* considering facts like "The book is on the table," no matter how clear and useful they may be fo...
March 16, 2020 at 12:52
Maybe you mean the future is indeterminate with respect to the present. But (and I'm not considering the "many-worlds" hypothesis of multiple futures ...
March 16, 2020 at 12:48
I'm afraid I don't know what makes an axiom appropriate, but also I don't know what an axiom without a verb means.
March 15, 2020 at 15:25
I agree that the "I" portion of "Cogito, ergo sum" is gratuitous and very weak. Specifically: If the conclusion is that "I exist", then how can "I" be...
March 14, 2020 at 16:22
There are at least three distinct meanings for the word "color": 1) the type of visual experience we can have. 2) the property of a material object th...
March 14, 2020 at 16:10
IvoryBlackBishop: Suppose you have a certain experience on a certain day. Then the fact that that experience was experienced is true, and nothing can ...
March 14, 2020 at 15:42
When I call something fuzzy, it's not because human's concepts of it are fuzzy ... though that can certainly accompany fuzziness. It's because in an a...
March 12, 2020 at 15:30
Good questions. 1) The truth of physical reality means everything about elementary particles — of which everything is composed. (People have the same ...
March 11, 2020 at 20:55
In my opinion, consciousness does not emerge; it is present at all previous times. I believe that because I cannot imagine its emergence from a state ...
March 11, 2020 at 17:43
On the contrary, I believe that that is exactly what science does. A claim in science is accepted only when the claim is verifiable, over and over, by...
March 11, 2020 at 13:51
I'm not referring to belief. By "ultimate truth" I mean truth that is not kinda, sorta, -ish. That's why I mentioned how words are often fuzzy, to mak...
March 11, 2020 at 13:41
I doubt Tegmark's claim that "everything is mathematics" since, first of all, how could abstract mathematics per se generate any sort of physical real...
March 11, 2020 at 04:08
The word "paradox" has two meanings: 1) something that is true but self-contradictory, and 2) something that is true and seems self-contradictory, but...
March 11, 2020 at 04:01
I don't "know" what you "mean".
March 11, 2020 at 03:49
That's the general idea, Dr. G., but to be exact I'm thinking of https://en.wikipedia.org/wiki/Natural_density .
March 11, 2020 at 00:10
Density and cardinality are different concepts.
March 10, 2020 at 21:14
What do you disagree with?
March 10, 2020 at 19:34
The definition of when two sets have the "same cardinality" is (as most people here know) when there is a bijection between the members of one set and...
March 10, 2020 at 19:22
What I wrote certainly doesn't explain anything (in the sense of Chalmers's Hard Problem). But it does suggest the scope of consciousness in the unive...
March 10, 2020 at 18:43
Thanks . Yes, for a long time I wondered what kind of arrangments of matter led to consciousness, and whether computer were conscious just because the...
March 10, 2020 at 12:44
Far simpler than what?
March 10, 2020 at 03:26
I've never seen an argument in favor of the claim that "consciousness is an illusion" that made any sense. If we're having any kind of illusion at all...
March 10, 2020 at 03:25
In math, cardinality is often expressed as an equivalence relation between two sets: Sets A and B are equivalent (in cardinality) exactly when there e...
March 10, 2020 at 03:15
I believe that there is no plant, animal, virus, molecule, atom, or elementary particle that does not have consciousness of some sort. As well as in t...
March 10, 2020 at 03:00
I think the apparent flow of time that we experience can only be studied in relation to consciousness. All of space and time that has existed, exists,...
March 10, 2020 at 02:52