FOUNDATION MATHEMATICS I

• Main Author: Ainon Zarina Mohamed Nadzri (Author)
• Other Authors: Hayati Yaakub, Mea Haslina Mohd Haris, Nor Aini Ibrahim, Norhafizah A Hamid
• Format: Book
• Language: English
• Published: Selangor Darul Ehsan DJUTA DALLEK ENTERPRISE 2019
• Subjects: Mathematics > Problems, exercises, etc
• Online Access: Click Here to View Status and Holdings.
• Physical Description: iii, 310 pages illustrations 30 cm
• Bibliography: Includes bibliographical references (pages 309-310)
• ISBN: 9789671609347

Foundations of mathematics is the study of the philosophical and logical[1] and/or algorithmic basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics.[2] In this latter sense, the distinction between foundations of mathematics and philosophy of mathematics turns out to be quite vague. Foundations of mathematics can be conceived as the study of the basic mathematical concepts (set, function, geometrical figure, number, etc.) and how they form hierarchies of more complex structures and concepts, especially the fundamentally important structures that form the language of mathematics (formulas, theories and their models giving a meaning to formulas, definitions, proofs, algorithms, etc.) also called metamathematical concepts, with an eye to the philosophical aspects and the unity of mathematics. The search for foundations of mathematics is a central question of the philosophy of mathematics; the abstract nature of mathematical objects presents special philosophical challenges