• Study Resource
  • Explore
    • Arts & Humanities
    • Business
    • Engineering & Technology
    • Foreign Language
    • History
    • Math
    • Science
    • Social Science

    Top subcategories

    • Advanced Math
    • Algebra
    • Basic Math
    • Calculus
    • Geometry
    • Linear Algebra
    • Pre-Algebra
    • Pre-Calculus
    • Statistics And Probability
    • Trigonometry
    • other →

    Top subcategories

    • Astronomy
    • Astrophysics
    • Biology
    • Chemistry
    • Earth Science
    • Environmental Science
    • Health Science
    • Physics
    • other →

    Top subcategories

    • Anthropology
    • Law
    • Political Science
    • Psychology
    • Sociology
    • other →

    Top subcategories

    • Accounting
    • Economics
    • Finance
    • Management
    • other →

    Top subcategories

    • Aerospace Engineering
    • Bioengineering
    • Chemical Engineering
    • Civil Engineering
    • Computer Science
    • Electrical Engineering
    • Industrial Engineering
    • Mechanical Engineering
    • Web Design
    • other →

    Top subcategories

    • Architecture
    • Communications
    • English
    • Gender Studies
    • Music
    • Performing Arts
    • Philosophy
    • Religious Studies
    • Writing
    • other →

    Top subcategories

    • Ancient History
    • European History
    • US History
    • World History
    • other →

    Top subcategories

    • Croatian
    • Czech
    • Finnish
    • Greek
    • Hindi
    • Japanese
    • Korean
    • Persian
    • Swedish
    • Turkish
    • other →
 
Profile Documents Logout
Upload
1.4 Proving Conjectures: Deductive Reasoning
1.4 Proving Conjectures: Deductive Reasoning

PDF
PDF

Constructive Mathematics, in Theory and Programming Practice
Constructive Mathematics, in Theory and Programming Practice

Calcpardy Double Jep AB 2010
Calcpardy Double Jep AB 2010

Automated Discovery in Pure Mathematics
Automated Discovery in Pure Mathematics

Aspectual Principle, Benford`s Law and Russell`s
Aspectual Principle, Benford`s Law and Russell`s

Little Rock Common Core State Standards
Little Rock Common Core State Standards

Orders of Infinity
Orders of Infinity

gumbers
gumbers

PLATONISM IN MODERN MATHEMATICS A University Thesis
PLATONISM IN MODERN MATHEMATICS A University Thesis

Permutations+Combina.. - SIUE Computer Science
Permutations+Combina.. - SIUE Computer Science

... Some of these are not used as address, but have special meaning. So just as an example, the first byte may not be 0 or 255, and the last byte may not be 0 or 255. Let’s determine the number of addresses taking these restrictions into account. (Note that Example 16 on Page 341 of our text gives the c ...
Permutations+Combina..
Permutations+Combina..

AddPlannerCA2
AddPlannerCA2

Chapter 5.2 What does this goal mean you need to do? Show an
Chapter 5.2 What does this goal mean you need to do? Show an

pdf
pdf

Document
Document

Unit Overview - The K-12 Curriculum Project
Unit Overview - The K-12 Curriculum Project

... and y are any numbers, with coefficients determined for example by Pascal’s Triangle. A-APR6. Rewrite simple rational expressions in different forms; write a(x)/b(x) in the form q(x) + r(x)/b(x), where a(x), b(x), q(x), and r(x) are polynomials with the degree of r(x) less than the degree of b(x), u ...
GPC sec11 Functions.notebook
GPC sec11 Functions.notebook

mathematical logic: constructive and non
mathematical logic: constructive and non

Order Real Numbers
Order Real Numbers

report
report

Page 1 ANNUAL NATIONAL ASSESSMENT 2015 GRADE 6
Page 1 ANNUAL NATIONAL ASSESSMENT 2015 GRADE 6

Table of set theory symbols
Table of set theory symbols

Exercises for CS3511 Week 31 (first week of practical)
Exercises for CS3511 Week 31 (first week of practical)

S4 Test yourself at Credit 9
S4 Test yourself at Credit 9

< 1 ... 171 172 173 174 175 176 177 178 179 ... 187 >

Foundations of mathematics

Foundations of mathematics is the study of the logical and philosophical basis of mathematics, or, in a broader sense, the mathematical investigation of what underlies the philosophical theories concerning the nature of mathematics. 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 (number, geometrical figure, set, function, 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.The foundations of mathematics as a whole does not aim to contain the foundations of every mathematical topic.Generally, the foundations of a field of study refers to a more-or-less systematic analysis of its most basic or fundamental concepts, its conceptual unity and its natural ordering or hierarchy of concepts, which may help to connect it with the rest of human knowledge. The development, emergence and clarification of the foundations can come late in the history of a field, and may not be viewed by everyone as its most interesting part.Mathematics always played a special role in scientific thought, serving since ancient times as a model of truth and rigor for rational inquiry, and giving tools or even a foundation for other sciences (especially physics). Mathematics' many developments towards higher abstractions in the 19th century brought new challenges and paradoxes, urging for a deeper and more systematic examination of the nature and criteria of mathematical truth, as well as a unification of the diverse branches of mathematics into a coherent whole.The systematic search for the foundations of mathematics started at the end of the 19th century and formed a new mathematical discipline called mathematical logic, with strong links to theoretical computer science.It went through a series of crises with paradoxical results, until the discoveries stabilized during the 20th century as a large and coherent body of mathematical knowledge with several aspects or components (set theory, model theory, proof theory, etc.), whose detailed properties and possible variants are still an active research field.Its high level of technical sophistication inspired many philosophers to conjecture that it can serve as a model or pattern for the foundations of other sciences.
  • studyres.com © 2025
  • DMCA
  • Privacy
  • Terms
  • Report