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The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics. Additionally, the subsequent columns contains an informal explanation, a short example, the Unicode location, the name for use in HTML documents, [1] and the LaTeX symbol.
Reason is the capacity of consciously applying logic by drawing valid conclusions from new or existing information, with the aim of seeking the truth. [1] It is associated with such characteristically human activities as philosophy, religion, science, language, mathematics, and art, and is normally considered to be a distinguishing ability possessed by humans.
According to Florian Cajori in A History of Mathematical Notations, Johann Rahn used both the therefore and because signs to mean "therefore"; in the German edition of Teutsche Algebra (1659) the therefore sign was prevalent with the modern meaning, but in the 1668 English edition Rahn used the because sign more often to mean "therefore".
Greek spelling of logos. Logos (UK: / ˈ l oʊ ɡ ɒ s, ˈ l ɒ ɡ ɒ s /, US: / ˈ l oʊ ɡ oʊ s /; Ancient Greek: λόγος, romanized: lógos, lit. 'word, discourse, or reason') is a term used in Western philosophy, psychology and rhetoric, as well as religion (notably Christianity); among its connotations is that of a rational form of discourse that relies on inductive and deductive ...
"Par. XVII. Law of Sufficient Reason, or of Reason and Consequent: "XVII. The thinking of an object, as actually characterized by positive or by negative attributes, is not left to the caprice of Understanding – the faculty of thought; but that faculty must be necessitated to this or that determinate act of thinking by a knowledge of ...
A Republican inscription on a former church: "Temple of reason and philosophy", Saint Martin, Ivry-La-Bataille. A Temple of Reason (French: Temple de la Raison) was, during the French Revolution, a state atheist temple for a new belief system created to replace Christianity: the Cult of Reason, which was based on the ideals of reason, virtue, and liberty.
Logic is the formal science of using reason and is considered a branch of both philosophy and mathematics and to a lesser extent computer science.Logic investigates and classifies the structure of statements and arguments, both through the study of formal systems of inference and the study of arguments in natural language.
An equality symbol (sometimes, identity symbol) = (see § Equality and its axioms below). Not all of these symbols are required in first-order logic. Either one of the quantifiers along with negation, conjunction (or disjunction), variables, brackets, and equality suffices. Other logical symbols include the following: