The calculus was the first achievement of modern mathematics and it is difficult to overestimate its importance. I think it defines more unequivocally than anything else the inception of modern mathematics, and the system of mathematical analysis, which is its logical development, still constitutes the greatest technical advance in exact thinking.
John von Neumann, in James R. Newman The World of Mathematics- arithmetic
- associative property
- barber paradox
- calculus
- circle
- commutative property
- cone
- decagon
- derivative
- empty set
- Fermat’s Library Journal Club (fermatslibrary.com)
Fermat’s Library is a platform for illuminating academic papers. Every week we send you a new paper annotated by the community in the fields of Mathematics, Physics, Economics, Computer Science and Biology.
- geometry
- hexagon
il cessa de calculer et de vivre— … he ceased to calculate and to live.
Marquis de Condorcet on the death of Euler- infinity
- logarithm
- logic
- mathematical expression
- Mathematical universe hypothesis (Wikipedia)
In physics and cosmology, the mathematical universe hypothesis (MUH), also known as the ultimate ensemble theory and struogony (from mathematical structure, Latin: struō), is a speculative “theory of everything” (TOE) proposed by cosmologist Max Tegmark.
- mathematician
- Mathematics (Wikipedia)
Mathematics is an area of knowledge that includes the topics of numbers, formulas and related structures, shapes and the spaces in which they are contained, and quantities and their changes. These topics are represented in modern mathematics with the major subdisciplines of number theory, algebra, geometry, and analysis, respectively. There is no general consensus among mathematicians about a common definition for their academic discipline.
Mathematics is the only true metaphysics.
William Thomson, as quoted by Silvanus Phillips Thompson- natural number
- nonagon
- octagon
- paradox
- pentagon
- polygon
- quadrilateral
- rhombus
- Russell’s paradox
- Russell’s Paradox - a simple explanation of a profound problem (youtube.com)
- set-builder notation
- square
- The axiom of choice was formulated in 1904 by Ernst Zermelo in order to formalize his proof of the well-ordering theorem.
- triangle
Young man, in mathematics you don’t understand things. You just get used to them.
John von Neumann