Search found 269 matches

by Averroes
Fri Oct 20, 2017 8:41 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

If there is a genus F, then is it the case that for all x, if x is F, x must be in the genus F? Genus, differentia, species and the likes are found in Aristotelian logic. Aristotelian logic has now been superseded by First Order Logic. So, the following discussion must be construed in an Aristoteli...
by Averroes
Fri Oct 13, 2017 6:06 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

Thank you. I've only posted 6 times on here, or thereabouts. But I'll try moving this to the religion subforum. I posted here because I thought the question of predication and genus had to do with logic. It is alright ficino, it is not only a math subforum, but also a logic subforum. And the OP has...
by Averroes
Tue Sep 26, 2017 12:03 pm
Forum: Logic and Philosophy of Mathematics
Topic: Did I discover “Angelo Cannata’s paradox”?
Replies: 28
Views: 3982

Re: Did I discover “Angelo Cannata’s paradox”?

I'm sure I don't need to remind you of Heraclitus' quote: "You can't step into the same river twice." (...) it is only the labels that remains the same. On the quoted statement above, someone might disagree with you on the basis of Heraclitus statement. On the same ground that the river would be ch...
by Averroes
Tue Sep 26, 2017 11:57 am
Forum: Logic and Philosophy of Mathematics
Topic: Did I discover “Angelo Cannata’s paradox”?
Replies: 28
Views: 3982

Re: Did I discover “Angelo Cannata’s paradox”?

I'm sure I don't need to remind you of Heraclitus' quote: "You can't step into the same river twice." The point about this quote is that the noumena changes, the phenomena changes; Respectfully my friend, one need not go as far as the distinction Kant made between 'noumena' and 'phenomena' for the ...
by Averroes
Tue Sep 26, 2017 11:51 am
Forum: Logic and Philosophy of Mathematics
Topic: Did I discover “Angelo Cannata’s paradox”?
Replies: 28
Views: 3982

Re: Did I discover “Angelo Cannata’s paradox”?

For us to be able to communicate meaningfully with each other we need to understand the basic structure of language and its correct use. Even dolphins can have meaningful communication without any understanding of the basic structure of language. Please, may I know from where and by what means did ...
by Averroes
Thu Sep 21, 2017 8:15 am
Forum: Logic and Philosophy of Mathematics
Topic: Did I discover “Angelo Cannata’s paradox”?
Replies: 28
Views: 3982

Re: Did I discover “Angelo Cannata’s paradox”?

I'm sure I don't need to remind you of Heraclitus' quote: "You can't step into the same river twice." Heraclitus statement can also be dealt with from a Kantian perspective. This is interesting and needs to be considered in detail because it directly deals with the law of identity. Please, if you w...
by Averroes
Thu Sep 21, 2017 7:58 am
Forum: Logic and Philosophy of Mathematics
Topic: Did I discover “Angelo Cannata’s paradox”?
Replies: 28
Views: 3982

Re: Did I discover “Angelo Cannata’s paradox”?

The law of identity is a basic principle of logic. It's logically prior to math. It's not an axiom of any system of math. "A thing is equal to itself" is a principle of reasoning independent of math. Such 'laws of logic' are not laws at all. At best they are hypotheses. It may be a basic principle ...
by Averroes
Sun Sep 10, 2017 5:34 pm
Forum: Logic and Philosophy of Mathematics
Topic: If...Then as element of a superset
Replies: 8
Views: 1496

Re: If...Then as element of a superset

my book did not discuss The transposition/contraposition rule: (P ≡ Q) ≡ (~Q ≡ ~P). I penciled a little note next to the table summaries in the book because it seems such a simple and obvious one to include in the book that I'm surprised they didn't include it at this level. I'm sure it will help m...
by Averroes
Wed Sep 06, 2017 12:48 am
Forum: Logic and Philosophy of Mathematics
Topic: If...Then as element of a superset
Replies: 8
Views: 1496

Re: If...Then as element of a superset

I am still developing my understanding of the Proofs. I will try to do the Proofs for the remaining parts and present them here for you to evaluate. The following proofs is how I think it should be done. (a) If Γ* is maximally consistent then ~P∈Γ* if and only if P ∉ Γ* The proof for that was good,...
by Averroes
Sat Sep 02, 2017 8:52 am
Forum: Logic and Philosophy of Mathematics
Topic: If...Then as element of a superset
Replies: 8
Views: 1496

Re: If...Then as element of a superset

So, what confuses me is part d. - how is it that P could not be an element of the superset and yet P ⊃ Q ∈ Γ* ??? What is the reasoning for that? :?: A maximally consistent set is one that is consistent and complete. There are various definitions of maximally consistent but they are all equivalent....
by Averroes
Sat Sep 02, 2017 8:05 am
Forum: Aesthetics
Topic: Great Works of Art
Replies: 83
Views: 11811

Re: Great Works of Art

I disagree with most of your political views, but since this is not the purpose of this thread, I'd rather not comment. No problem. If God wills, we can get other opportunities on other threads to exchange our point of views. I appreciated our exchanges in this thread and I look forward to another ...
by Averroes
Sat Sep 02, 2017 7:36 am
Forum: Aesthetics
Topic: Great Works of Art
Replies: 83
Views: 11811

Re: Great Works of Art

I'm rapt before Islamic art and architecture. It is perhaps the most beautiful depictions and art in the world. Thank you my friend. I can say so far that you have an astute sense of aesthetics. I also did not know about that Picasso quote on Islamic calligraphy; assuming it's true, it's quite the ...
by Averroes
Wed Aug 30, 2017 1:39 pm
Forum: Logic and Philosophy of Mathematics
Topic: need help understanding when a Proof is a Proof
Replies: 3
Views: 532

Re: need help understanding when a Proof is a Proof

Okay, I hope that's enough to clarify my question which is: If the discussion was to develop a Proof, the one I just wrote, then they proceed to tell me that the supposition ( is that the Assumption?) is wrong - then how does that comprize a Proof?!? I think this a case of reductio ad absurdum,i.e....
by Averroes
Wed Aug 30, 2017 1:22 pm
Forum: Aesthetics
Topic: Great Works of Art
Replies: 83
Views: 11811

Re: Great Works of Art

and as you may well know, from the times of Ataturk,Turkey has been a very secular modern society. I think things have been changing for the better for Turkey since 1994 when the actual President Recep Tayyip Erdogan first took a position of political power in Turkey. At that time, the west and the...
by Averroes
Mon Aug 28, 2017 9:45 am
Forum: Aesthetics
Topic: Great Works of Art
Replies: 83
Views: 11811

Re: Great Works of Art

La Alhambra de Granada (Spain) Thank you so much for these wonderful pictures of Alhambra. The story behind it and more generally Muslim Spain, is very interesting. Bettany Hughes, a respected British historian, goes through a detailed and illustrated analysis of this period of history of Al-Andalu...