• 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
Document
Document

x - Homepages | The University of Aberdeen
x - Homepages | The University of Aberdeen

Coordinate Algebra to Geometry Transition Packet
Coordinate Algebra to Geometry Transition Packet

... MGSE9-12.F.IF.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph. Analyze functions using different representations MGSE9-12.F.IF.7 Graph functions expressed algebraically and s ...
Constraint propagation
Constraint propagation

Secondary Mathematics_7
Secondary Mathematics_7

Unit 3 Introduction to Rational Number Class - VII - CBSE
Unit 3 Introduction to Rational Number Class - VII - CBSE

... a continuous and comprehensive basis consequent to the mutual interactions between the teacher and the learner. There are some non-evaluative components in the curriculum which would be commented upon by the teachers and the school. The objective of this part or the core of the curriculum is to scaf ...
Modular Construction of Complete Coalgebraic Logics
Modular Construction of Complete Coalgebraic Logics

MATH EXPRESSIONS KINDERGARTEN – SCOPE AND SEQUENCE
MATH EXPRESSIONS KINDERGARTEN – SCOPE AND SEQUENCE

Integers without large prime factors in short intervals: Conditional
Integers without large prime factors in short intervals: Conditional

Lesson 1:  The Pythagorean Theorem 8•7  Lesson 1
Lesson 1: The Pythagorean Theorem 8•7 Lesson 1

The Journal of Functional and Logic Programming The MIT Press
The Journal of Functional and Logic Programming The MIT Press

Trimester PDF
Trimester PDF

Theories and uses of context in knowledge representation and
Theories and uses of context in knowledge representation and

... Interestingly enough, KRR seems to share this intuition with other related areas. Two examples will illustrate this “family resemblance”. Sperber and Wilson, in their book on relevance (1986:15), express a similar intuition from a psycholinguistic perspective: “The set of premises used in interpreti ...
Dialectica Interpretations A Categorical Analysis
Dialectica Interpretations A Categorical Analysis

Understanding SPKI/SDSI Using First-Order Logic
Understanding SPKI/SDSI Using First-Order Logic

Primitive sets with large counting functions
Primitive sets with large counting functions

Reasoning with Divisibility Mathematics Curriculum 4
Reasoning with Divisibility Mathematics Curriculum 4

Logical Methods in Computer Science Vol. 8(4:19)2012, pp. 1–28 Submitted Oct. 27, 2011
Logical Methods in Computer Science Vol. 8(4:19)2012, pp. 1–28 Submitted Oct. 27, 2011

p-ADIC QUOTIENT SETS
p-ADIC QUOTIENT SETS

... real numbers R+ has been examined by many authors over the years [3–7, 14, 20, 21, 24, 26, 27, 29, 32, 33, 36–38]. Analogues in the Gaussian integers [12] and, more generally, in imaginary quadratic number fields [34] have been considered. Since R(A) is a subset of the rational numbers Q, there are ...
Notions of Computability at Higher Type
Notions of Computability at Higher Type

Chapter 6
Chapter 6

Curry-Howard Isomorphism - Department of information engineering
Curry-Howard Isomorphism - Department of information engineering

lecture notes in logic - UCLA Department of Mathematics
lecture notes in logic - UCLA Department of Mathematics

... additional symbols which are common to all FOL(τ ). 1. The logical symbols ¬ & ∨ → ∀ ∃ = 2. The punctuation symbols ( ) , 3. The (individual) variables: v0 , v1 , v2 , . . . Here ¬ (not), & (and), ∨ (or) and → (implies) are the propositional symbols, and ∀ (for all) and ∃ (there exists) are the quan ...
Cryptography and Network Security Chapter 4
Cryptography and Network Security Chapter 4

Document
Document

... To Teachers and Tutors: Below is a list of key words and phrases in this teach yourself unit. To Students: You can skip this list and begin your algebra exploration on the next page. After you have completed this unit, you will know much about the words and phrases in the list. Key words and phrases ...
< 1 2 3 4 5 6 7 8 9 10 ... 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