Search found 275 matches

by Averroes
Fri Dec 15, 2017 6:16 pm
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4640

Re: How deep is math?

In these respects, with reason as proportion, reason can be observed as both quantitatively (number) and qualitatively (language) mathematical. In these respects, every one is a mathematician to some degree, in the respect of applying dimensions as forms of measurement. That statement seems to me t...
by Averroes
Fri Dec 15, 2017 6:07 pm
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4640

Re: How deep is math?

Revelation and reason. We can say, as Ibn Rushd has qualified it in the Decisive Treatise, that reason is a tool. And we know that tools are used to craft materials in desired forms. If we have the tools but no materials to work on, then the tools will not be very useful to us. The works on logic t...
by Averroes
Fri Dec 15, 2017 6:02 pm
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4640

Re: How deep is math?

Thanks for the info, I will look into it when I have the time. You are most welcomed. I think it was Ibn Rushd (or Avicenna?) which made the observation the what seperated the prophets from non-prophets was the perspective in which they seen creation. Now you can correct me on that, however it was ...
by Averroes
Mon Dec 11, 2017 10:37 pm
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4640

Re: How deep is math?

Now what I was reading at the time was an english translation, however I later read the the Arabic translation maintains this "poetic frequency" (I call it), much better. Just a very slight correction my friend, instead of "Arabic translation", I think you meant "Arabic original". No need to worry,...
by Averroes
Mon Dec 11, 2017 10:21 pm
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4640

Re: How deep is math?

Interesting post again. It is very kind of you, thank you. I apologize for the late reply, I had to do some research and gather some materials before I could provide a decent reply to your post. I remember, and you can correct me on this, that one of the "proofs" muslim theologians argued for the K...
by Averroes
Fri Dec 08, 2017 7:26 pm
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4640

Re: How deep is math?

if I remember correctly the muslims had significant influence in the development of algebra and logic. Yes, you remember correctly! :) Algebra is in fact an Arabic word! It is derived from the Arabic word الجبر, which is transliterated as al-jabr and which means "completion" or "restoration".‎ How ...
by Averroes
Fri Dec 08, 2017 7:23 pm
Forum: Logic and Philosophy of Mathematics
Topic: How deep is math?
Replies: 46
Views: 4640

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: 4640

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: 3072

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: 3072

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: 3072

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: 372

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: 719

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: 3789

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: 3789

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...