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Questions related to Philosophy of Mathematics
I am interested in knowing how the students are to be trained in mathematics and what are the fundamental building blocks of any good national level curriculum that must be implemented at a...
09 September 2015 6,075 4 View
The fact is: theoretically, the present science theory system has really proved the divergence of Harmonic Series; but practically, Harmonic Series is impossible to be divergent because it is...
15 August 2015 1,845 3 View
Dear colleagues: Could you point out if are there points of view, in Mathematics Education, based on Marxism? I would like to know about Philosophy of Mathematics Education, Curriculum Theory or...
08 August 2015 6,949 0 View
Philosophy of science is the branch of philosophy that studies the fundamentals, the assumptions and implications of science, in relation to logic and the natural sciences, such as physics or...
08 August 2015 9,083 14 View
As a re--cognizing fruit to certain knowledge system, paradox in our science system is a kind of amazing treasures closely related to the philosophy of science. In a special way, it purposely...
08 August 2015 9,343 2 View
08 August 2015 4,064 4 View
For example the immaginary unit i of the complex numbers means rotation in a given plane of π/2 radiants. I'm also interested in physical interpretations of the quaternions i j k .
07 July 2015 6,056 21 View
Dear colleagues: Good afternoon. I would like to ask this question: actually, what are the trends in Philosophy of Mathematics Education? Are there new books or papers about this feature? Thank...
06 June 2015 2,655 26 View
Decision Making is an important tool both in professional and personal life.Being a Math Teacher or a Mathematician how strong you are in decision making? Can we improve it through some Management...
06 June 2015 2,115 3 View
Do Gödel incompleteness and Turing’s halting problem set internal limits only to mathematical reasoning or to the larger program of scientific discovery? Ironically, it was Gödel, a logician who...
06 June 2015 6,140 14 View
Does it help us understand concepts of randomness and probability by considering the possibility that randomness may be involved in certain strange systems, where only one outcome is possible....
29 May 2015 2,327 8 View
The PSR “is a powerful and controversial philosophical principle stipulating that everything must have a reason or cause.” (Stanford Encyclopedia of Philosophy)The PSR looks for explanations in...
05 May 2015 4,552 69 View
Do you think that the inclusion of history and philosophy of Science (and Technology) subjects in the Under Graduate and Post Graduate Curriculum is useful for the better learning of students?...
04 April 2015 6,328 13 View
Are mathematical entities fictional in the sense that they enjoy limited existential reference within the abstract stories told by mathematicians? Or in other words, unlike natural languages that...
04 April 2015 4,979 74 View
1, philosophy of physics once placed a significant role to solve defects in the foundation of physics disclosed by paradoxes. 2, the existing fundamental defects (syndrome of "potential...
22 March 2015 9,322 63 View
Ennis has developed example on how to assess critical thinking skills. But, he did not provide us (forgive me if I am wrong) examples on how to assess critical thinking skills in mathematical...
17 March 2015 5,139 16 View
The following proof (given by Oresme in about 1360), very elementary but important, can be found in many current higher mathematical books written in all kinds of languages. 1＋1/2 ＋1/3＋1/4＋．．．＋1/n...
03 March 2015 8,347 16 View
03 March 2015 9,572 63 View
03 March 2015 1,185 19 View
In pure mathematics there is no absolute truth [Stabler]; we invent rules then see what they prove or see what is consistent with them. So in physics, what kind of truths are we looking for? Are...
02 February 2015 7,785 45 View
Many say that Grothendieck has revolutionized the concept of space, but few explain in sufficient detail what this revolution is. I would like to know your position in this regard.
02 February 2015 8,613 6 View
People may have different names for ”the infinite related very small numerical things (infinitesimals)”, it doesn’t matter what they are called, they are there in our mathematics, but what are...
01 January 2015 8,841 71 View
“Potential infinite” and “actual infinite” are really there in our mathematics and science, but it seems very difficult to understand and express these two concepts clearly and logically ever...
01 January 2015 4,507 69 View
Section II of “The fixation of belief” [2] opens dramatically with a one-premise argument—Peirce’s truth-preservation argument PTPA—concluding that truth-preservation is necessary and sufficient...
12 December 2014 2,526 4 View