Search found 269 matches

by Averroes
Fri Dec 08, 2017 7:23 pm
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4042

Re: How deep is math?

Interesting post Thank you my friend. But this is because it is the Holy Qur'an. Holy Qur'an is interesting. So all praises and thanks be to God, The Almighty. There are some other interesting patterns as well, but from here, there is the prerequisite of understanding the subtleties of the Arabic l...
by Averroes
Tue Dec 05, 2017 9:17 am
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4042

Re: How deep is math?

Or how involving is math? By deep I mean that in its broadest sense so feel free to interpret it your particular way. So how deep is math for you? This is a very interesting topic PhilX. And thank you for the freedom of interpretation of the subject. Such kind of intellectual position can only serv...
by Averroes
Thu Nov 16, 2017 4:34 am
Forum: Logic and Philosophy of Mathematics
Topic: How much freedom does math have?
Replies: 31
Views: 2790

Re: How much freedom does math have?

The infinity part we can easily grasp. But the -1/12 is counter-intuitive. One can watch the following Youtube videos to know what it is about ... To understand this one should study complex analysis and in particular the subject of analytic continuation to understand the context of this unfortunat...
by Averroes
Wed Nov 15, 2017 7:13 pm
Forum: Logic and Philosophy of Mathematics
Topic: How much freedom does math have?
Replies: 31
Views: 2790

Re: How much freedom does math have?

How can "i" be any different than a "point" considering all imaginary structures at the micro and macro level are reduced to a point, with the intermediate being composed of "points"?  "i" here is just an index, it can be replaced by another letter of the alphabet if you do not like "i", lets say "...
by Averroes
Wed Nov 15, 2017 5:14 pm
Forum: Logic and Philosophy of Mathematics
Topic: How much freedom does math have?
Replies: 31
Views: 2790

Re: How much freedom does math have?

So what do you think? I think that an example which can provide material for thought for this topic would be the series: Series: (i=1, i=infinity) ∑ i; i.e. 1+2+3+4... = ?? Is the result of this series: infinity or -1/12!! The infinity part we can easily grasp. But the -1/12 is counter-intuitive. O...
by Averroes
Wed Nov 15, 2017 5:10 pm
Forum: Logic and Philosophy of Mathematics
Topic: Do number groups have more meaning than individual numbers?
Replies: 1
Views: 339

Re: Do number groups have more meaning than individual numbers?

I would contend yes. For example we have the number one. Now I ask you to put all the other numbers out of your mind and focus on the number one. Since we don't have the other numbers to compare with, then quantity has no meaning with the number one. The same with the number two when we don't have ...
by Averroes
Wed Nov 15, 2017 4:55 pm
Forum: Logic and Philosophy of Mathematics
Topic: Challenging Truth Tree problem
Replies: 1
Views: 698

Re: Challenging Truth Tree problem

I am late on this, and I hope that the poster found a solution to his/her problem. Here is what I came up with. 1. (1) (F & ~H)-> G Premise 2. (2) ~A -> ~H Premise 3. (3) ~H v C Premise 4. (4) ~(B ->E) Premise 5. (5) C-> D Premise 6 (6) ~G Assumption 7 (7) F Assumption 1,6 (8) ~(F&~H) 1, 6 Paradox o...
by Averroes
Sat Oct 28, 2017 6:22 am
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

With all due respect, going into the modern distinctions between sets and classes and the likes, is irrelevant and misses the point here. I fully agree. I'm hitting the nail with the only hammer I have. I wanted to mention that since I just made a long post along the same admittedly irrelevant line...
by Averroes
Fri Oct 27, 2017 11:18 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

But you made your claim in the context of Zermelo's axiomitization of set theory. My comments are valid in that context. Once you invoked 1908 you left the domain of classical logic. Surely that's fair to point out. If I misunderstood your reference to Zermelo or 1908 I'll accept clarification. Whe...
by Averroes
Fri Oct 27, 2017 10:41 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

The reference to 1908 is probably a reference to Zermelo's axiomatisation of set theory. All this means that there can be no all-encompassing class/set. I don't agree with this interpretation. Nothing in set theory says that there can't be an all-encompassing collection, or class. It just can't be ...
by Averroes
Thu Oct 26, 2017 11:34 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

The point of my question was to wonder whether things have predicates that fall under no genus. I should think that the only candidates for predicates that are in no genus are the so-called transcendentals that cut across categories and genera and thus are not genera, e.g. being, one, true. There i...
by Averroes
Thu Oct 26, 2017 11:16 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

Re: "not every predicate is a genus": yes, some are too narrow, so to speak. In Aristotle, color is a genus in the category of Quality. It is broken down into black and white (or the "pale" so beloved of translators) and ranges in between. But if I'm only saying, "Socrates is colored," then Socrate...
by Averroes
Thu Oct 26, 2017 11:12 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

But as for God, the Almighty, such things cannot be said. For God, the Almighty is Absolute Oneness, and there is and can be no species to which He belongs. Since there is no-one like Him, the Almighty, therefore He does not belong in/under any species. As He does not belong to any species, there c...
by Averroes
Thu Oct 26, 2017 11:06 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

So, the following discussion must be construed in an Aristotelian logical context. In modern logic, concepts such as predicate is different from that in Aristotelian logic. In a modern context, a predicate is construed as a function, where as in ancient logic it is a term. There are other major dif...
by Averroes
Fri Oct 20, 2017 8:42 pm
Forum: Logic and Philosophy of Mathematics
Topic: predication and genus
Replies: 29
Views: 3400

Re: predication and genus

What possible objection could God have? This is a good question, but I cannot reply to such a question in this thread as it is off-topic. If you are still interested in the answer, please follow the following link to my forum, I have answered the question there: http://philosophyforum.aba.ae/viewto...