Mephist

But he said that his decision was based on the number of people that will die in the attack. Does anybody believe this?

I just read this, reported to be a tweet from Trump: ""...On Monday they shot down an unmanned drone flying in International Waters. We were cocked & ...

OK, probably you are right: my question was too generic and didn't express what I wanted to mean.

Actually, I changed idea about the "No" answer since i wrote that post :razz: (2 months ago) I think that the case of mathematics is quite different f...

Yes, I agree. Well, I believe mathematics is a different case in this regard: I think that the degree of "interest" of a theory can be defined, someho...

Physical objects have properties in common: numbers are a property of objects that are made of separate parts, and then can be counted. Names are poss...

OK, now I see what you mean. You are saying that maybe there is no meaning in saying that a particular string of characters, or a particular number "e...

Well, first of all, I am happy that finally somebody considered my question interesting :smile: I actually have a quite different opinion about this: ...

Well, for proper names that denote a particular object, I think somebody must have assigned a name to the object before you can use it, so the answer ...

Maybe I didn't understand what you mean by a "name". I was thinking about names used in logic propositions, that are simply meaningless labels.

In this case surely there are proper names that no one has said or thought: just take a random string of 30 letters (and maybe add some vowels to make...

No, names used in logic are simply strings of characters: formal logic is a purely syntactic system. You could imagine to use geometric objects (whose...

The point is that logic derivations have to be of finite length. So you can never use more than a finite set of names in a formal proof. Even if you i...

Really very interesting. Thanks for the link!

I think what their policy has exactly the opposite effect: the threat to the United States is increased from Russia and China as a result of keeping t...

But what do they want exactly? That the religious leaders leave their places to people chosen by US? How should Iran regime be changed? What should th...

OK, but they can't be paid directly from arms producers, right? I mean: this would be illegal ( or not? ).

Do you mean they earn from selling arms? What is "the profit yielded from selling the means to kill people" ?

OK, I am more inclined to believe this. But what is their personal advantage concretely?

But do you think they really believe that to achieve peace and resources for Iranian people you have to make war that will destroy the country?

OK, I was speaking about Bolton's position too. So, let me reformulate it: Bolton's position is that the self-interest of the United States is to domi...

OK, so you say that the self-interest of the United States is to dominate the region by military force, so that there will be peace, stability, freedo...

I have a simple question: why do Bolton and Pompeo want a war with Iran ? (because it seems that they are trying to provoke a war with Iran, right? Or...

Well, I see that you are not speaking of mathematics or logic here. So I think I have not much to say in reply to your answer... But in my opinion the...

Sorry, I realize now that I didn't answer to this question. I read the article that you posted (https://plato.stanford.edu/entries/geometry-finitism/s...

OK, so I can prove that 1 = 2. Here's the proof: I take a segment of length one and I stretch it until it becomes of length 2. But this is still the s...

Yes, but we are speaking about measuring the length of segments. You can't stretch the segment if you want to measure it.

Which of the two questions do you answer? both? So, you say that infinite lines in euclidean geometry are the same thing as segments of length one, ri...

What about infinite lines in euclidean geometry? Are they allowed? Are they the same thing as segments of length one?

I tried to look for the "standard" encoding of category theory in HoTT, but it seems that there are many, and none is standard (same thing as in set t...

Ah... well, I don't know neither MgGregor, nor McBride or linear logic.. :smile:

OK, thanks for the suggestion. I'll read it

Yes, that's what I had in mind, although re-reading what I wrote, I am not sure that this is the right functor to consider.. :razz:

Well, I reviewed the definition of Riemann integral and I see that it is defined as a series (sum over set of intervals). So yes, I was wrong: there a...

Re-reading your post, I realize that maybe I didn't understand what you were referring to... I didn't see Cornor McBride's talks on linear logic. Rega...

I know that in Coq finiteness of computable functions is ensured by restricting the form of allowed recursive functions, but there are a lot of differ...

I agree that this series should be defined on natural numbers, but I don't understand to what part of my post is this related. I said that a series, b...

Yes, this is true for the category of groups built on top of ZF Set theory. You take sets as objects and functions as morphisms. So you have an infini...

Yes, I didn't finish to read the article in detail, but it sounds very interesting. However, I am not surprised that there is an axiomatization of euc...

OK, but I don't understand what's your point here..

Yes, of course you can model algorithms and even non total functions in HoTT with UA. In reality you can model it even using Church's untyped lambda c...

Here's a quote from the introduction of Univalence as a Principle of Logic "The resulting picture of the mathematical universe is rather different fro...

Well, for HoTT without UA I had in mind Coq with higher inductive types (https://ncatlab.org/nlab/show/higher+inductive+type). Well, you can use trunc...

A segment (1-dimensional) has a non zero 1-dimensional measure, and can be only made up using objects with non-zero 1-dimensional measure. ( I am spea...

In every case the series (convergent or not) is made of a countable set of 1-dimensional segments of non zero measure. You add segments to obtain a se...

If you rule out infinite sets you have to admit that measures of geometrical objects are not sets. For example: - how many different lengths can have ...

I don't agree on this point. Of course you can define "logicality" however you want, but in my opinion HoTT without Univalence Axiom has all rights to...

If there will be a third world war with nuclear weapons that destroys completely humanity and civilization, would it be a prove that Anaximander's the...

Could you explain what you mean by "projections"? Maybe an example?

I think the main problem with Anaximander's theory, if you want to see it as a modern scientific theory, is that it's not falsifiable (https://en.wiki...