Best philosophy & mathematics Quotes | Short & Famous Sayings

“The harmony of the world is made manifest in Form and Number, and the heart and soul and all the poetry of Natural Philosophy are embodied in the concept of mathematical beauty.”

World Heart Made Soul Philosophy Form Science Natural Numbers Education Concepts Harmony Mathematics Mathematical Manifest Heart And Soul Natural Philosophy Mathematical Beauty

Book:On Growth and Form

Source: On Growth and Form

“What has philosophy got to do with measuring anything? It's the mathematicians you have to trust, and they measure the skies like we measure a field.”

Philosophy Sky Fields Mathematics Mathematician Measuring

Author:Galileo Galilei

“We find sects and parties in most branches of science; and disputes which are carried on from age to age, without being brought to an issue. Sophistry has been more effectually excluded from mathematics and natural philosophy than from other sciences. In mathematics it had no place from the beginning; mathematicians having had the wisdom to define accurately the terms they use, and to lay down, as axioms, the first principles on which their reasoning is grounded. Accordingly, we find no parties among mathematicians, and hardly any disputes.”

Firsts Has Beens Philosophy Use Age Term Natural Party Principles Issues Mathematics Lays Reasoning Branches Mathematician Grounded Disputes Sects Axioms Excluded Sophistry Natural Philosophy

Author:Thomas Reid

“Men are constantly attracted and deluded by two opposite charms: the charm of competence which is engendered by mathematics and everything akin to mathematics, and the charm of humble awe, which is engendered by meditation on the human soul and its experiences. Philosophy is characterized by the gentle, if firm, refusal to succumb to either charm.”

Ifs Men Humans Two Soul Philosophy Meditation Opposites Mathematics Humble Firm Gentle Charm Awe Competence Human Soul Refusal Deluded Two Opposites

Book:An Introduction to Political Philosophy: Ten Essays

Source: An Introduction to Political Philosophy: Ten Essays

“As you are entered with the class of Nat. philosophy, give to it the hours of lecture, but devote all your other time to Mathematics, avoiding company as the bane of all progress.”

Giving Philosophy Hours Company Class Progress Mathematics Avoiding Lectures Bane

Book:The Papers of Thomas Jefferson, Retirement Series, Volume 2: 16 November 1809 to 11 August 1810

Source: The Papers of Thomas Jefferson, Retirement Series, Volume 2: 16 November 1809 to 11 August 1810

“The three main medieval points of view regarding universals are designated by historians as realism, conceptualism, and nominalism. Essentially these same three doctrines reappear in twentieth-century surveys of the philosophy of mathematics under the new names logicism, intuitionism, and formalism.”

Philosophy Reality Three Names Views Century Mathematics Point Of View Doctrine Historian Realism Twentieth Century Medieval Surveys

Author:Willard Van Orman Quine

“The history of mathematics, lacking the guidance of philosophy, [is] blind, while the philosophy of mathematics, turning its back on the most intriguing phenomena in the history of mathematics, is empty.”

Philosophy Empty Mathematics Blind Guidance Lacking Intriguing

Book:Proofs and Refutations: The Logic of Mathematical Discovery

Source: Proofs and Refutations: The Logic of Mathematical Discovery

“. . . the membership relation for sets can often be replaced by the composition operation for functions. This leads to an alternative foundation for Mathematics upon categories -- specifically, on the category of all functions. Now much of Mathematics is dynamic, in that it deals with morphisms of an object into another object of the same kind. Such morphisms (like functions) form categories, and so the approach via categories fits well with the objective of organizing and understanding Mathematics. That, in truth, should be the goal of a proper philosophy of Mathematics.”

“Woe be to him who tries to isolate one department of knowledge from the rest. All science is one: language, literature and history, physics, mathematics and philosophy; subjects which seem the most remote from one another are in reality connected, or rather they all form a single system.”

Trying Philosophy Reality Seems Form Literature Language Subjects Mathematics Connected Physics Department Woe

Author:Jules Michelet

“The most ignorant person, at a reasonable charge, and with a little bodily labour, might write books in philosophy, poetry, politics, laws, mathematics, and theology, without the least assistance from genius or study.”

Writing Littles Persons Book Philosophy Might Law Study Genius Mathematics Theology Ignorant Reasonable Labour Assistance Ignorant Person

Book:Delphi Complete Works of Jonathan Swift (Illustrated)

Source: Delphi Complete Works of Jonathan Swift (Illustrated)

“Reserve your right to think, for even to think wrongly is better than not to think at all.”

Thinking Inspirational Philosophy Wisdom Science Rights Life Philosophy Wise Words Words Of Wisdom Mathematics Ancient Greek Engineering Reserves Wise Man Once Said Ancient Greek Alexandria

Author:Hypatia

“Art is a form of understanding like philosophy and science and mathematics are an understanding but the difference is that art has the capacity to hold all these different things. It is the form of understanding that is best suited for the contemporary time.”

Art Different Philosophy Form Understanding Differences Art Is Capacity Mathematics Contemporary Different Things

Author:Robert Longo

“Perhaps, you know, new laws, new domains of potential openness are occurring as the universe ages, and complexity previously disallowed is now possible, and we are that complexity. We are nature moving out of its genetic phase - a phase under the control of chemical genes, which are physical structures, in to an epigenetic phase, a phase of culture ruled by codes, transformable culturally confined codes - mathematics, religion, philosophy, art, dance, humor.”

Knows Art Philosophy Age Moving Law Culture Universe Mathematics Structure Code Complexity Openness Chemicals Genes Phases Domain Confined Philosophy Of Religion Moving Out Art Dance

Author:Terence McKenna

“I enjoyed mathematics from a very young age. At the beginning of college, I had this illusion, which was kind of silly in retrospect, that if I just understood math and physics and philosophy, I could figure out everything else from first principles.”

Ifs Firsts Kind Philosophy Age Young Principles Figures College Illusion Understood Mathematics Math Physics Silly Enjoyed Young Age Retrospect

Author:Erez Lieberman Aiden

“I rather stumbled into philosophy. When I began my undergraduate career at Cambridge, I studied mathematics.”

Philosophy Careers Mathematics Cambridge Undergraduate

Author:Philip Kitcher

“After two years of undergraduate study, it was clear that I was bored by the regime of problem-solving required by the Cambridge mathematical tripos. A very sensitive mathematics don recommended that I talk to the historian of astronomy, Michael Hoskin, and the conversation led me to enroll in the History and Philosophy of Science for my final undergraduate year.”

“Life is a school of probability.”

Life Art Philosophy School Life Is History Mathematics Math Mathematical Probability School Life

Author:Walter Bagehot

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