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  1. Geometry (3634 bytes)
    3: ...s, which are termed [[axiom]]s in geometry. Such axioms are insusceptible to proof, but can be used in c...
    5: ... the first field to be put on an [[axiomatization|axiomatic]] basis, by [[Euclid]]. The Greeks were inte...
  2. Francis Bacon (16741 bytes)
    49: ... proceed through inductive reasoning from fact to axiom to law. Before beginning this induction, the inqu...
  3. Mathematics (24164 bytes)
    23: ...ruths and for this they invented [[axiom]]s and [[axiomatic reasoning]].
    25: ...imagined to be nothing but [[set theory]] in some axiomatization, in the sense that every mathematical st...
  4. Tycho Brahe (17516 bytes)
    33: ...stars was eternal and unchangeable (a fundamental axiom of the [[Aristotelian]] world view, celestial imm...
  5. Age of Enlightenment (36312 bytes)
    14: ...he Age of Reason, which was built on self-evident axioms, reached its height with [[Baruch Spinoza|Baruch...
    16: ...as of Newton, which combined the mathematics of [[axiom]]atic proof with the mechanics of physical observ...
    20: ...ncis Bacon (philosopher)|Francis Bacon]] with the axiomatic approach of Descartes. The belief in a compre...
    59: ... uniform system of weights and measures, based on axiomatic units—the radius of the earth, the weig...
  6. Albert Einstein (43065 bytes)
    63: His explanation arose from two axioms: [[Galileo Galilei|Galileo]]'s old idea that the...
    68: ... showed one further deduction from relativity's [[axiom]]s, the famous equation that the [[energy]] of a ...
    140: ...our-dimensional space-time continuum expressed in axioms represented by five component vectors. Particles...
  7. Mathematician (9627 bytes)
    13: ...start with some given assumptions, often called [[axiom]]s, and then proceed to prove other ideas ([[theo...

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