• 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
Situation 21: Exponential Rules
Situation 21: Exponential Rules

Tactical and Strategic Challenges to Logic (KAIST
Tactical and Strategic Challenges to Logic (KAIST

california content standards: grade 7
california content standards: grade 7

Section 1.4 Mathematical Proofs
Section 1.4 Mathematical Proofs

Relational Predicate Logic
Relational Predicate Logic

On the error term in a Parseval type formula in the theory of Ramanujan expansions,
On the error term in a Parseval type formula in the theory of Ramanujan expansions,

Rational and Irrational Numbers 2
Rational and Irrational Numbers 2

... 2. a. Write three irrational numbers. ...
Rational and Irrational Numbers 2
Rational and Irrational Numbers 2

Edray H Goins: Indiana Pi Bill.html
Edray H Goins: Indiana Pi Bill.html

... as the nth convergent of the continued fraction of π . We've seen these fractions before: they are the best rational approximations to find. ...
Lecture 5 - McGill University
Lecture 5 - McGill University

... Unfortunately, this is not necessarily true in computer arithmetic because of round-off errors. ...
Mastering Arizona Mathematics Standards
Mastering Arizona Mathematics Standards

Discrete Mathematics (2009 Spring) Basic Number Theory (n3.4gn3
Discrete Mathematics (2009 Spring) Basic Number Theory (n3.4gn3

... Prime Numbers De…nition (Prime) An integer p > 1 is prime i¤ it is not the product of any two integers greater than 1, p > 1 ^ :9a, b 2 N : a > 1, b > 1, ab = p. The only positive factors of a prime p are 1 and p itself. Some primes: 2, 3, 5, 7, 11, 13, De…nition (Composite) Non-prime integers great ...
1 - SAP Education
1 - SAP Education

... ABOUT THIS BOOK ...
PDF
PDF

... numbers x and y such that x2 + y 2 + z 2 = 3xyz, but there is only set of values of x and y satisfying the inequality z > y ≥ x. The conjecture is easy enough to check for small values. For example, for z = 5, we could even test x and y we know not to be Markov numbers with minimum increase in compu ...
Worksheet I: What is a proof (And what is not a proof)
Worksheet I: What is a proof (And what is not a proof)

(8.NS.1)
(8.NS.1)

... 5. Complete the Changing Repeating Decimals to Fractions worksheet. Work through the examples, work problems #1 and #2 as a group, then have the students work the remainder of the problems independently. As students work through the examples, be sure to have a discussion on why we are multiplying by ...
Beyond first order logic: From number of structures to structure of
Beyond first order logic: From number of structures to structure of

Algebra Prep. Summer Mathematics Packet
Algebra Prep. Summer Mathematics Packet

IGCSE Mathematics – Sets and set notation
IGCSE Mathematics – Sets and set notation

Simplifying SAW calculations Adam Kawalec Military
Simplifying SAW calculations Adam Kawalec Military

Plainfield Public Schools Mathematics Unit Planning Organizer
Plainfield Public Schools Mathematics Unit Planning Organizer

... A.CED.1 Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions. A.CED.2 Create equations in two or more variables to represent relationships between quantities; gra ...
Practice D Real Numbers
Practice D Real Numbers

Homework for Lesson 3
Homework for Lesson 3

KS2 Maths Challenge semifinalquestions2009
KS2 Maths Challenge semifinalquestions2009

Algebra II Sample Scope and Sequence
Algebra II Sample Scope and Sequence

... relationships between quantities, with a particular focus on linear, quadratic, and exponential functions and equations. The Algebra II course outlined in this scope and sequence document begins with connections back to that earlier work, efficiently reviewing algebraic and statistical concepts that ...
< 1 ... 130 131 132 133 134 135 136 137 138 ... 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