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LOGICISM

Logicism

School of thought in philosophy of mathematics

philosophy of mathematics, logicism is a school of thought comprising one or more of the theses that – for some coherent meaning of 'logic' – mathematics is an

Logicism

Logic

Study of correct reasoning

in early 20th-century mathematical logic, which pursued the program of logicism pioneered by philosopher-logicians such as Gottlob Frege, Alfred North

Logic

Mathematical object

branch of logic, and all mathematical concepts, theorems, and truths can be derived from purely logical principles and definitions. Logicism faced challenges

Mathematical object

Mathematical_object

Logicor

European warehouse and logistics company

by 2017 Logicor was operating over 630 properties. Logicor was purchased by China Investment Corporation in 2017. In no way is or was Logicor related

Logicor

Philosophy

Study of general and fundamental questions

self-cultivation. Major branches of philosophy are epistemology, ethics, logic, and metaphysics. Epistemology studies what knowledge is and how to acquire

Philosophy

Mathematical logic

Subfield of mathematics

Mathematical logic is the study of formal logic within mathematics. Major subareas include model theory, proof theory, set theory, and recursion theory

Mathematical logic

Mathematical_logic

The Logic

Canadian news website

The Logic is a subscription-based Canadian news outlet focused on the "innovation economy," which has been compared to The Information. The website was

The Logic

The_Logic

Temporal logic

System for representing and reasoning about time

In logic, temporal logic is any system of rules and symbolism for representing, and reasoning about, propositions qualified in terms of time (for example

Temporal logic

Temporal_logic

Logic gate

Device performing a Boolean function

A logic gate is a device that performs a Boolean function, a logical operation performed on one or more binary inputs that produces a single binary output

Logic gate

Logic_gate

Propositional logic

Branch of logic

Propositional logic is a branch of classical logic. It is also called statement logic, sentential calculus, propositional calculus, sentential logic, or sometimes

Propositional logic

Propositional_logic

Rule of inference

Method of deriving conclusions

of deriving conclusions from premises. They are integral parts of formal logic, serving as the logical structure of valid arguments. If an argument with

Rule of inference

Rule_of_inference

PMOS logic

Family of digital circuits

PMOS or pMOS logic, from p-channel metal–oxide–semiconductor, is a family of digital circuits based on p-channel, enhancement mode metal–oxide–semiconductor

PMOS logic

PMOS_logic

Classical logic

Class of formal logics

was derivable from logic, and make arithmetic rigorous as David Hilbert had done for geometry, the doctrine is known as logicism in the foundations of

Classical logic

Classical_logic

Proposition

Bearer of truth values

determine the truth values of compound propositions. First-order logic extends propositional logic with additional devices to analyze the internal structure

Proposition

Logic (rapper)

American rapper and singer (born 1990)

Robert Bryson Hall II (born January 22, 1990), known professionally as Logic, is an American rapper, singer, songwriter, and record producer from Gaithersburg

Logic (rapper)

Logic_(rapper)

First-order logic

Type of logical system

First-order logic, also called predicate logic, predicate calculus, or quantificational logic, is a type of formal system used in mathematics, philosophy

First-order logic

First-order_logic

Richard Dedekind

German mathematician (1831–1916)

development of modern set theory and of the philosophy of mathematics known as logicism. Dedekind's father was Julius Levin Ulrich Dedekind, an administrator of

Richard Dedekind

Richard_Dedekind

Tautology (logic)

In logic, a statement which is always true

In mathematical logic, a tautology (from Ancient Greek: ταυτολογία) is a formula that is true regardless of the interpretation of its component terms

Tautology (logic)

Tautology_(logic)

Binary logic

Topics referred to by the same term

Binary logic may refer to: Boolean logic, a two-valued formal logic Logic gates implementing Boolean logic in digital electronics Bivalent logic or two-valued

Binary logic

Binary_logic

Description logic

Family of formal knowledge representation

Description logics (DL) are a family of formal knowledge representation languages. Many DLs are more expressive than propositional logic but less expressive

Description logic

Description_logic

Logic Pro

Digital audio workstation

Notator Logic, or Logic, by German software developer C-Lab which later went by Emagic. Apple acquired Emagic in 2002 and rebranded Logic to Logic Pro, adding

Logic Pro

Logic_Pro

Outline of logic

Overview of and topical guide to logic

Game theory Illuminationist philosophy Logical atomism Logical holism Logicism Modal fictionalism Nominalism Polylogism Pragmatism Preintuitionism Proof

Outline of logic

Outline_of_logic

Paraconsistent logic

Type of formal logic

Paraconsistent logic is a type of non-classical logic that allows for the coexistence of contradictory statements without leading to a logical explosion

Paraconsistent logic

Paraconsistent_logic

Logic (disambiguation)

Topics referred to by the same term

logic, a branch of mathematics that grew out of symbolic logic Philosophical logic, the application of formal logic to philosophical problems Logic programming

Logic (disambiguation)

Logic_(disambiguation)

List of logic symbols

List of symbols used to express logical relations

contains logic symbols. Without proper rendering support, you may see question marks, boxes, or other symbols instead of logic symbols. In logic, a set

List of logic symbols

List_of_logic_symbols

Logic bomb

Intentional delayed sabotage of a computer program with activation subject to conditions

A logic bomb is a piece of code intentionally inserted into a software system that will set off a malicious function when specified conditions are met

Logic bomb

Logic_bomb

Logic optimization

Process in digital electronics and integrated circuit design

Logic optimization is a process of finding an equivalent representation of the specified logic circuit under one or more specified constraints. This process

Logic optimization

Logic_optimization

Conceptions of logic

The history of logic as a subject has been characterised by many disputes over what the topic deals with, and the main article 'Logic' has as a result

Conceptions of logic

Conceptions_of_logic

Dialetheism

View that there are statements that are both true and false

is to utilize dialetheism along with a paraconsistent logic to resurrect the program of logicism advocated for by Frege and Russell. This even allows one

Dialetheism

Fuzzy logic

System for reasoning about vagueness

Fuzzy logic is a form of many-valued logic in which the truth value of variables may be any real number between 0 and 1. It is employed to handle the concept

Fuzzy logic

Fuzzy_logic

Formalism (philosophy of mathematics)

View that mathematics does not necessarily represent reality, but is more akin to a game

philosophical approaches to mathematics developed during this period, alongside logicism and intuitionism, though formalism encompasses a broader spectrum of positions

Formalism (philosophy of mathematics)

Formalism_(philosophy_of_mathematics)

Re-Logic

Independent game developer and publisher

Re-Logic is an American independent video game developer and publisher based in Floyds Knobs, Indiana. Founded by Andrew "Redigit" Spinks in 2011, the

Re-Logic

Logic and rationality

Fundamental concepts in philosophy

founded on pure reason, while logicism is the doctrine that mathematical concepts, among others, are reducible to pure logic. Deductive reasoning concerns

Logic and rationality

Logic_and_rationality

Boolean algebra

Algebraic manipulation of "true" and "false"

In mathematics and mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the

Boolean algebra

Boolean_algebra

Resistor–transistor logic

Class of digital circuits

Resistor–transistor logic (RTL), sometimes also known as transistor–resistor logic (TRL), is a class of digital circuits built using resistors as the input

Resistor–transistor logic

Resistor–transistor_logic

Logic of graphs

Logical formulation of graph properties

finite model theory, the logic of graphs deals with formal specifications of graph properties using sentences of mathematical logic. There are several variations

Logic of graphs

Logic_of_graphs

Field-programmable gate array

Array of logic gates that are reprogrammable

a subset of logic devices referred to as programmable logic devices (PLDs). They consist of a grid-connected array of programmable logic blocks that can

Field-programmable gate array

Field-programmable_gate_array

Resolution (logic)

Inference rule in logic, proof theory, and automated theorem proving

theorem-proving technique for sentences in propositional logic and first-order logic. For propositional logic, systematically applying the resolution rule acts

Resolution (logic)

Resolution_(logic)

Informal logic

Branch of logic

Informal logic encompasses the principles of logic and logical thought outside of a formal setting (characterized by the usage of particular statements)

Informal logic

Informal_logic

Philosophical logic

Application of logical methods to philosophical problems

Understood in a narrow sense, philosophical logic is the area of logic that studies the application of logical methods to philosophical problems, often

Philosophical logic

Philosophical_logic

Business logic

Concept in computer software

In computer software, business logic or domain logic is the part of the program that encodes the real-world business rules that determine how data can

Business logic

Business_logic

Valuation (logic)

In logic and model theory, a valuation can be: In propositional logic, an assignment of truth values to propositional variables, with a corresponding assignment

Valuation (logic)

Valuation_(logic)

Indian logic

Development of Indian logic

The development of Indian logic dates back to the Chandahsutra of Pingala and anviksiki of Medhatithi Gautama (c. 6th century BCE); the Sanskrit grammar

Indian logic

Indian_logic

Dynamic logic (modal logic)

Extension of modal logic

In logic, philosophy, and theoretical computer science, dynamic logic is an extension of modal logic capable of encoding properties of computer programs

Dynamic logic (modal logic)

Dynamic_logic_(modal_logic)

Control logic

Control logic is a key part of a software program that controls the operations of the program. The control logic responds to commands from the user, and

Control logic

Control_logic

Modal logic

Type of formal logic

Modal logic is a kind of logic used to represent statements about necessity and possibility. In philosophy and related fields it is used as a tool for

Modal logic

Modal_logic

Ladder logic

Programming language for industrial controllers

Ladder logic was originally a written method to document the design and construction of relay racks as used in manufacturing and process control. Each

Ladder logic

Ladder_logic

Edward N. Zalta

American philosopher (born 1952)

ontology. Tennant, Neil (August 21, 2013) [First published August 21, 2013]. "Logicism and Neologicism". In Zalta, Edward N. (ed.). Stanford Encyclopedia of Philosophy

Edward N. Zalta

Edward_N._Zalta

Algebraic logic

Reasoning about equations with free variables

and logicism as his version of pure mathematics based on the operations of the calculus as primitive notions. The "Boole–Schröder algebra of logic" was

Algebraic logic

Algebraic_logic

Three-valued logic

System including an indeterminate value

three-valued logic (also trinary logic, trivalent, ternary, or trilean, sometimes abbreviated 3VL) is any of several many-valued logic systems in which

Three-valued logic

Three-valued_logic

Transistor–transistor logic

Class of digital circuits

Transistor–transistor logic (TTL) is a logic family built from bipolar junction transistors (BJTs). Its name signifies that transistors perform both the logic function

Transistor–transistor logic

Transistor–transistor_logic

Logic synthesis

Process by which desired circuit behavior is turned into a schematic of logic gates

In computer engineering, logic synthesis is a process by which an abstract specification of desired circuit behavior, typically at register transfer level

Logic synthesis

Logic_synthesis

Logic analyzer

Electronic test instrument that measures multiple signals from a circuit

A logic analyzer is an electronic instrument that captures and displays multiple logic signals from a digital system or digital circuit. A logic analyzer

Logic analyzer

Logic_analyzer

Many-valued logic

Propositional calculus in which there are more than two truth values

Many-valued logic (also multi- or multiple-valued logic) is a propositional calculus in which there are more than two truth values. Traditionally, in

Many-valued logic

Many-valued_logic

Stoicism

Ancient philosophy

traditionally divided into three interconnected disciplines: logic, physics, and ethics. Stoic logic focuses on highly intentional reasoning through propositions

Stoicism

Gottlob Frege

German philosopher, logician, and mathematician (1848–1925)

survey of the ongoing rehabilitation of Frege's logicism. Boolos, George, 1998. Logic, Logic, and Logic. MIT Press. — 12 papers on Frege's theorem and

Gottlob Frege

Gottlob_Frege

Logic level

Finite states of a digital signal

In digital circuits, a logic level is one of a finite number of states that a digital signal can inhabit. Logic levels are usually represented by the voltage

Logic level

Logic_level

Infinitary logic

Logic that allows infinitely long proofs

An infinitary logic is a logic that allows infinitely long statements and/or infinitely long proofs. The concept was introduced by Zermelo in the 1930s

Infinitary logic

Infinitary_logic

Logic Theorist

1956 computer program written by Allen Newell, Herbert A. Simon and Cliff Shaw

Logic Theorist is a computer program completed in 1956 by Allen Newell, Herbert A. Simon, and Cliff Shaw. It was the first program deliberately engineered

Logic Theorist

Logic_Theorist

Minimal logic

Symbolic logic system

Minimal logic, or minimal calculus, is a symbolic logic system originally developed by Ingebrigt Johansson under the name "Minimalkalkül". It is a paraconsistent

Minimal logic

Minimal_logic

Science of Logic

Work by Georg Wilhelm Friedrich Hegel

Science of Logic (German: Wissenschaft der Logik), first published between 1812 and 1816, is the work in which Georg Wilhelm Friedrich Hegel outlined

Science of Logic

Science_of_Logic

Programmable logic controller

Programmable digital computer used to control machinery

A programmable logic controller (PLC) or programmable controller is an industrial computer that has been ruggedized and adapted for the control of manufacturing

Programmable logic controller

Programmable_logic_controller

False (logic)

Possessing negative truth value

In logic, false (Its noun form is falsity) or untrue is the state of possessing negative truth value and is a nullary logical connective. In a truth-functional

False (logic)

False_(logic)

Pretzel Logic

1974 studio album by Steely Dan

Pretzel Logic is the third studio album by American rock band Steely Dan, released on February 20, 1974, by ABC Records. It was recorded at the Village

Pretzel Logic

Pretzel_Logic

LSI Logic

American company

LSI Logic Corporation was an American ASIC and EDA company founded in Santa Clara, California. The company designed and sold semiconductors and software

LSI Logic

LSI_Logic

CryptoLogic

has since had its business-to-consumer division, WagerLogic, sold to a third party. CryptoLogic was founded by Canadian brothers Andrew Rivkin and Mark

CryptoLogic

Diode logic

AND and OR logic with diodes and resistors

Diode logic (or diode-resistor logic) constructs AND and OR logic gates with diodes and resistors. An active device (vacuum tubes with control grids in

Diode logic

Diode_logic

Combinational logic

Type of digital logic implemented by Boolean circuits

In automata theory, combinational logic (also referred to as time-independent logic) is a type of digital logic that is implemented by Boolean circuits

Combinational logic

Combinational_logic

Relevance

Useful connection between topics

Relevance is studied in many different fields, including cognitive science, logic, and library and information science. Epistemology studies it in general

Relevance

Combinatory logic

Logical formalism using combinators instead of variables

Combinatory logic is a notation to eliminate the need for quantified variables in mathematical logic. It was introduced by Moses Schönfinkel and Haskell

Combinatory logic

Combinatory_logic

Sequential logic

Type of logic circuit

In automata theory, sequential logic is a type of logic circuit whose output depends on the present value of its input signals and on the sequence of past

Sequential logic

Sequential_logic

Logic programming

Programming paradigm based on formal logic

Logic programming is a programming, database, and knowledge representation paradigm based on formal logic. A logic program is a set of sentences in logical

Logic programming

Logic_programming

Multimodal logic

A multimodal logic is a modal logic that has more than one primitive modal operator. They find substantial applications in theoretical computer science

Multimodal logic

Multimodal_logic

Dominant logic

Dominant logic relates to the main means a company uses to make a profit. In essence, it is an interpretation of how a company has succeeded. It describes

Dominant logic

Dominant_logic

Computation tree logic

Theory in computer science

Computation tree logic (CTL) is a branching-time logic, meaning that its model of time is a tree-like structure in which the future is not determined;

Computation tree logic

Computation_tree_logic

Consistency

Non-contradiction of a theory

In deductive logic, a consistent theory is one that does not lead to a logical contradiction. A theory T {\displaystyle T} is consistent if there is no

Consistency

Domino logic

CMOS-based evolution of the dynamic logic techniques

Domino logic is a CMOS-based evolution of dynamic logic techniques consisting of a dynamic logic gate cascaded into a static CMOS inverter. The term derives

Domino logic

$Domino logic$

Domino_logic

BL (logic)

In mathematical logic, basic fuzzy logic (or shortly BL), the logic of the continuous t-norms, is one of the t-norm fuzzy logics. It belongs to the broader

BL (logic)

BL_(logic)

Association for Logic Programming

The Association for Logic Programming (ALP) was founded in 1986. Its mission is "to contribute to the development of Logic Programming, relate it to other

Association for Logic Programming

Association_for_Logic_Programming

Presentation logic

In software development, presentation logic is concerned with how business objects are displayed to users of the software, e.g. the choice between a pop-up

Presentation logic

Presentation_logic

Philosophy of logic

Study of the scope and nature of logic

to this project is logicism: the thesis defended by Gottfried Wilhelm Leibniz and Gottlob Frege that arithmetic is reducible to logic alone. This would

Philosophy of logic

Philosophy_of_logic

MarkLogic

American software company

MarkLogic is an American software business that develops and provides an enterprise NoSQL database, which is also named MarkLogic. They have offices in

MarkLogic

History of logic

Frege. Frege's objective was the program of Logicism, i.e. demonstrating that arithmetic is identical with logic. Frege went much further than any of his

History of logic

History_of_logic

Fuzzy logic (disambiguation)

Topics referred to by the same term

Look up fuzzy logic in Wiktionary, the free dictionary. Fuzzy logic is a form of logic theory. Fuzzy Logic may also refer to: Fuzzy Logic (Super Furry

Fuzzy logic (disambiguation)

Fuzzy_logic_(disambiguation)

Motherboard

Main printed circuit board used for a computing device

A motherboard, also known as a mainboard, system board, logic board, and informally mobo (see "Nomenclature" section), is the main printed circuit board

Motherboard

Logic block

Reprogrammable computer hardware technology

In computing, a logic block or configurable logic block (CLB) is a fundamental building block of field-programmable gate array (FPGA) technology.[citation

Logic block

Logic_block

Charles Sanders Peirce

American scientist (1839–1914)

contributions to logic, such as theories of relations and quantification. C. I. Lewis wrote, "The contributions of C. S. Peirce to symbolic logic are more numerous

Charles Sanders Peirce

Charles_Sanders_Peirce

Logic family

Either of two concepts in computer engineering

AC/ACT logic, AHC/AHCT logic, ALVC logic, AUC logic, AVC logic, CBT logic, CBTLV logic, FCT logic and LVC logic (LVCMOS). The integrated injection logic (IIL

Logic family

Logic_family

Logics for computability

Logics for computability are formulations of logic that capture some aspect of computability as a basic notion. This usually involves a mix of special

Logics for computability

Logics_for_computability

Signature (logic)

Description of non-logical symbols

In mathematical logic, a signature is a description of the non-logical symbols of a formal language. In universal algebra, a signature lists the operations

Signature (logic)

Signature_(logic)

False

Topics referred to by the same term

False or falsehood most commonly refer to: False (logic), the negation of truth in classical logic Lie or falsehood, a type of deception in the form of

False

Frege's theorem

Metatheorem

work. It is at the core of the philosophy of mathematics known as neo-logicism (at least of the Scottish School variety). In The Foundations of Arithmetic

Frege's theorem

Frege's_theorem

Conditional

Topics referred to by the same term

calculus in mathematics Relevance conditional, in relevance logic Conditional logic, referring to logics for studying natural-language conditional sentences (cf

Conditional

Definitions of mathematics

(1903) Snapper, Ernst (September 1979). "The Three Crises in Mathematics: Logicism, Intuitionism, and Formalism". Mathematics Magazine. 52 (4): 207–16. doi:10

Definitions of mathematics

Definitions_of_mathematics

Autoepistemic logic

Reasoning of knowledge about knowledge

The autoepistemic logic is a formal logic for the representation and reasoning of knowledge about knowledge. While propositional logic can only express

Autoepistemic logic

Autoepistemic_logic

Abductive reasoning

Inference seeking the simplest and most likely explanation

first-order logic, without requiring any preliminary reduction of formulae into normal forms. These methods have also been extended to modal logic. Abductive

Abductive reasoning

Abductive_reasoning

Kettle logic

Using inconsistent arguments

Kettle logic (French: la logique du chaudron) is a rhetorical device wherein one uses multiple arguments to defend a point, but the arguments are inconsistent

Kettle logic

Kettle_logic

Separation logic

Concept in computer science

In computer science, separation logic is an extension of Hoare logic, a way of reasoning about programs. It was developed by John C. Reynolds, Peter O'Hearn

Separation logic

Separation_logic

Logical positivism

Movement in Western philosophy

to logic, Bertrand Russell sought to convert the mathematical formulas of physics to symbolic logic. Gottlob Frege began this program of logicism, continuing

Logical positivism