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Some Related Sentences

Soundness and term
Satisfiability -- Scholastic logic -- Second-order predicate -- Self-reference -- Sequent -- Sequent calculus -- Sequential logic -- Singular term -- Soundness -- Square of opposition -- Strict conditional -- Strict implication -- Strict logic -- Structural rule -- Sufficient condition -- Syllogism -- Syllogistic fallacy

Soundness and is
Soundness is among the most fundamental properties of mathematical logic.
Soundness properties come in two main varieties: weak and strong soundness, of which the former is a restricted form of the latter.
Soundness of a deductive system is the property that any sentence that is provable in that deductive system is also true on all interpretations or structures of the semantic theory for the language upon which that theory is based.
* Soundness: if the statement is false, no prover, even if it doesn't follow the protocol, can convince the honest verifier that it is true, except with some small probability.
* Soundness: if the string is not in the language, no prover, however malicious, will be able to convince the verifier to accept the string with probability exceeding 1 / 3.
* ( Soundness ) Every provable second-order sentence is universally valid, i. e., true in all domains under standard semantics.
# Soundness: if the statement is false, no cheating prover can convince the honest verifier that it is true, except with some small probability.
Soundness guarantees that all possible behaviours are preserved while completeness guarantees that no behaviour is added by the encoding.

Soundness and its
* October 1992 – The Housing and Community Development Act of 1992 codifies within its language the Federal Housing Enterprises Financial Safety and Soundness Act of 1992 that creates the Office of Federal Housing Enterprise Oversight, and mandates HUD to set goals for lower income and underserved housing areas for the GSEs Fannie Mae and Freddie Mac

logical and term
Others derive it from the mnemonic term " Baroco ", a supposedly laboured form of syllogism in logical Scholastica .< ref >
Early computer buses were parallel electrical wires with multiple connections, but the term is now used for any physical arrangement that provides the same logical functionality as a parallel electrical bus.
The term database may be narrowed to specify particular aspects of organized collection of data and may refer to the logical database, to the physical database as data content in computer data storage or to many other database sub-definitions.
The term is used to suggest analogy with the logical fallacies.
Today, however, game theory applies to a wide range of class relations, and has developed into an umbrella term for the logical side of science, to include both human and non-humans, like computers.
They restricted themselves to a compilation of the principal methods of logical deduction, which they called " middot " ( measures ), although the other rules also were known by that term ( comp.
During the Islamic Golden Age, there was a logical debate among Islamic philosophers and jurists whether the term Qiyas refers to analogical reasoning, inductive reasoning or categorical syllogism.
Equivocation is the use in a syllogism ( a logical chain of reasoning ) of a term several times, but giving the term a different meaning each time.
* Functional predicate, a logical symbol that may be applied to an object term to produce another object term
Although Wittgenstein did not use the term himself, his metaphysical view throughout the Tractatus is commonly referred to as logical atomism.
In telecommunication, the term means a record of both completed and attempted accesses and service, or data forming a logical path linking a sequence of events, used to trace the transactions that have affected the contents of a record.
The terms " logic " or " logical " are sometimes used as if they were identical with the term " reason " or with the concept of being " rational ", or sometimes logic is seen as the most pure or the defining form of reason.
Whilst widely criticised at the time, over the longer term the decision can be seen as a logical culmination of the withdrawal from Britain's colonial-era political and military commitments in Asia, the Middle East, Africa and elsewhere that had been underway under British governments of both parties since the Second World War – and of the parallel switch of Britain's emphasis to its European identity.
In philosophy, the term logical fallacy properly refers to a formal fallacy: a flaw in the structure of a deductive argument which renders the argument invalid.
Aristotle was the first logician to attempt a systematic analysis of logical syntax, into noun ( or term ), and verb.
The fallacy of the undistributed middle is a logical fallacy that is committed when the middle term in a categorical syllogism is not distributed.
In aviation, the term climb refers both to the actual operation of increasing the altitude of an aircraft and to the logical phase of a typical flight ( often called the climb phase or climbout ) following takeoff and preceding the cruise, during which an increase in altitude to a predetermined level is effected.
Kwame Nkrumah, president of Ghana ( 1960 – 66 ), coined the term neo-colonialism in the book Neo-Colonialism, the Last Stage of Imperialism ( 1965 ) As a political scientist, Nkrumah theoretically developed and extended, to the post – War 20th century, the socio-economic and political arguments presented by Lenin in the pamphlet Imperialism, the Highest Stage of Capitalism ( 1917 ), about 19th-century imperialism as the logical extension of geopolitical power to meet the financial investment needs of the political economy of capitalism.
The term frequently implies a critique of the more extreme expressions of logical positivism and has been used by social scientists such as Friedrich Hayek, philosophers of science such as Karl Popper, and philosophers such as Hilary Putnam to describe the dogmatic endorsement of scientific methodology and the reduction of all knowledge to only that which is measurable.
Later during the Islamic Golden Age, there was a logical debate among Islamic philosophers, logicians and theologians over whether the term Qiyas refers to analogical reasoning, inductive reasoning or categorical syllogism.
In formal logic and related branches of mathematics, a functional predicate, or function symbol, is a logical symbol that may be applied to an object term to produce another object term.
Many speakers resist using the term " machine tool " to refer to woodworking machinery ( joiners, table saws, routing stations, and so on ), but it is difficult to maintain any true logical dividing line, and therefore many speakers are fine with a broad definition.

logical and meaning
where is a metalogical symbol meaning that, in the first case, and in the other are syntactic consequences of in some logical system ;
where is a metalogical symbol meaning that is a syntactic consequence if and are each on lines of a proof in some logical system ;
where is a metalogical symbol meaning that is a syntactic consequence of, and in some logical system ;
where is a metalogical symbol meaning that is a syntactic consequence of in some logical system ;
where is a metalogical symbol meaning that is a syntactic consequence of, and and in some logical system ;
They need to be analyzed and criticized in all their manifestations ; the function of both logical and axiological oppositions must be studied in all discourses to provide meaning and values.
But this doesn ’ t mean that they don ’ t need to be analyzed and criticized in all its manifestations, showing the way these oppositions, both logical and axiological, are at work in all discourse for it to be able to produce meaning and values.
Thus, the only logical possibilities are to accept non-Euclidean geometry as physically real, or to reject the entire notion of physical tests of the axioms of geometry, which can then be imagined as a formal system without any intrinsic real-world meaning.
It is common to divide the symbols of the alphabet into logical symbols, which always have the same meaning, and non-logical symbols, whose meaning varies by interpretation.
Actual, which in English is usually a synonym of " real ", has a different meaning in other European languages, in which it means " current " or " up-to-date ", and has the logical derivative as a verb, meaning " to make current " or " to update ".
Perhaps the view for which the logical positivists are best known is the verifiability criterion of meaning, or verificationism.
The verifiability criterion of meaning did not seem verifiable ; but neither was it simply a logical tautology, since it had implications for the practice of science and the empirical truth of other statements.
where is a metalogical symbol meaning that is a syntactic consequence of and in some logical system ;
where is a metalogical symbol meaning that is a syntactic consequence of and in some logical system ;
" Wittgenstein was insisting that a proposition and that which it describes must have the same ' logical form ', the same ' logical multiplicity ', Sraffa made a gesture, familiar to Neapolitans as meaning something like disgust or contempt, of brushing the underneath of his chin with an outward sweep of the finger-tips of one hand.
As a logical consequence, the meaning of history is known only through the knowledge of God ( an idea similar to this can be found in the speculations of Augustine of Hippo and some Calvinist philosophers, such as Herman Dooyeweerd ).
The opposite of truth is falsehood, which, correspondingly, can also take on a logical, factual, or ethical meaning.
A proposition such as " If p and q, then p ." is considered to be logical truth because it is true because of the meaning of the symbols and words in it and not because of any facts of any particular world.
In turn, a logically " ideal " language cannot supply meaning, it can only reflect the world, and so, sentences in a logical language cannot remain meaningful if they are not merely reflections of the facts.
In some programming languages, so-called typos, especially of symbols or logical / mathematical operators, actually represent logic errors, since the mistyped constructs are accepted by the compiler with a meaning other than that which the programmer intended.
But this doesn't mean that they don't need to be analyzed and criticized in all their manifestations ; showing the way these oppositions, both logical and axiological, are at work in all discourses so that they be able to produce meaning and values.

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