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In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, how they should be read out loud, and the related field of mathematics.
If Arabic numbers and kanji are used in combination, Western orders of magnitude may be used for numbers smaller than 10,000 (e.g. 2,500万 for 25,000,000). In Japanese, when long numbers are written out in kanji, zeros are omitted for all powers of ten.
In realizability truth values are sets of programs, which can be understood as computational evidence of validity of a formula. For example, the truth value of the statement "for every number there is a prime larger than it" is the set of all programs that take as input a number , and output a prime larger than .
komejirushi (米印, "rice symbol") This symbol is used in notes (註, chū) as a reference mark, similar to an asterisk ＊ 2196: 1-1-86: FF0A: hoshijirushi (星印, "star symbol") asterisk (アステリスク, "asterisk") This symbol is used in notes (註, chū) 〽: 1-3-28: 303D: ioriten (庵点) This mark is used to show the start of a ...
2. Denotes also the truth value true. 3. Sometimes denotes the top element of a bounded lattice (previous meanings are specific examples). 4. For the use as a superscript, see ⊤. ⊥ 1. denotes the logical predicate always false. 2. Denotes also the truth value false. 3.
The symbol is pronounced according to its name, and together (in either order, but generally symbol first) these form a Japanese name. Japanese family names are generally two kanji characters, each usually of one or two morae – hence one or two hiragana or katakana if written that way – and thus can be represented as one symbol plus one ...
The modern Japanese writing system uses a combination of logographic kanji, which are adopted Chinese characters, and syllabic kana.Kana itself consists of a pair of syllabaries: hiragana, used primarily for native or naturalized Japanese words and grammatical elements; and katakana, used primarily for foreign words and names, loanwords, onomatopoeia, scientific names, and sometimes for emphasis.
In logic, a logical constant or constant symbol of a language is a symbol that has the same semantic value under every interpretation of . Two important types of logical constants are logical connectives and quantifiers .