I list 8 aspects of mathematics and give my take on their relative importance. Two of these are the creation of new concepts by abstraction and the clarification of old ones. The former is illustrated by the creation of the concept of a monoid and the latter by the clarification of the concept of volume.</p
What is mathematics today? What is mathematics? That’s one of the most basic questions in the philos...
One cannot imagine the beauty of the world without Mathematics. It manifests in almost all fields of...
The popular view that mathematics is “objective” and “neutral” in the sense that it does not know di...
Mathematics is a flourishing field of human endeavor, a field that is accorded great respect and hig...
Primary object of interest of mathematicians can be identified as a „mathematical matter”, the conce...
Famous physicists, like Einstein and Wigner have been wondering, why mathematical symbolism could pl...
Can a single definition be found that captures the meaning of Mathemat-ics across the millennia of i...
One of the most striking features of mathematics is the fact that we are much more certain about the...
Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by t...
What is mathematics, really? This is a classic deep question. Given the excellent scholarship, thoug...
The philosophy of mathematics provides a severe test for a materialist explanation of science. This...
Abstract—The pursuit of knowledge and the use of reason, based on sense and observation is a key ing...
In broad strokes, mathematics is a massive yet multifarious edifice and mode of thinking based on ne...
Though the philosophy of mathematics encompasses many kinds of questions, my response to the five qu...
The development of mathematics is intimately interwoven with the progress of civilization, influenci...
What is mathematics today? What is mathematics? That’s one of the most basic questions in the philos...
One cannot imagine the beauty of the world without Mathematics. It manifests in almost all fields of...
The popular view that mathematics is “objective” and “neutral” in the sense that it does not know di...
Mathematics is a flourishing field of human endeavor, a field that is accorded great respect and hig...
Primary object of interest of mathematicians can be identified as a „mathematical matter”, the conce...
Famous physicists, like Einstein and Wigner have been wondering, why mathematical symbolism could pl...
Can a single definition be found that captures the meaning of Mathemat-ics across the millennia of i...
One of the most striking features of mathematics is the fact that we are much more certain about the...
Is mathematics a highly sophisticated intellectual game in which the adepts display their skill by t...
What is mathematics, really? This is a classic deep question. Given the excellent scholarship, thoug...
The philosophy of mathematics provides a severe test for a materialist explanation of science. This...
Abstract—The pursuit of knowledge and the use of reason, based on sense and observation is a key ing...
In broad strokes, mathematics is a massive yet multifarious edifice and mode of thinking based on ne...
Though the philosophy of mathematics encompasses many kinds of questions, my response to the five qu...
The development of mathematics is intimately interwoven with the progress of civilization, influenci...
What is mathematics today? What is mathematics? That’s one of the most basic questions in the philos...
One cannot imagine the beauty of the world without Mathematics. It manifests in almost all fields of...
The popular view that mathematics is “objective” and “neutral” in the sense that it does not know di...