The philosophy of mathematics presented in this book is based on the ideas of Sir William Rowan Hamilton on the ordinal character of numbers, the real numbers, scalar numbers, and the extension to vectors. The final extension is to Hamilton's quaternions. The algebra is interpreted as comprising of spin, or intrinsic angular momentum. This led the author to offer a new theory of time-space. This theory is based on the motion of spin, and not the motion of translation as in Einstein's special theory of relativity. The motion of spin is absolute, no frame of reference is required. If time is assumed to have a beginning it would be asymmetric with an arrow, this concept is applied to the laws of nature, which are symmetrical. The author argues that this is another Copernican Revolution in three respects: absolute time is restored, time has an arrow - is asymmetric, and thirdly the theory is based on the motion of spin which is absolute and more fundamental than the motion of translation.
Reihe
Sprache
Verlagsort
Verlagsgruppe
Zielgruppe
Für höhere Schule und Studium
Für Beruf und Forschung
Illustrationen
5 line figures, bibliography, index
Maße
Höhe: 157 mm
Breite: 222 mm
Gewicht
ISBN-13
978-1-85972-654-9 (9781859726549)
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Schweitzer Klassifikation
Prolegomenon: Frege - the theory of judgement; introduction; the concept of number; number systems; algebra - the science of pure time; geometry; measurement and numbers; quaternions versus vector analysis; the unification of physics: the laws of nature; the arrow of time; Einstein's special theory of relativity; Einstein's general theory of relativity, theory of gravity; quantum theory; cosmology - the Big Bang and the expansion of the universe; the philosophy of science - especially the philosophy of mathematics and its applications to nature; the relation between science and religion - the existence of God or no God.
