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Formal proof. In logic and mathematics, a formal proof or derivation is a finite sequence of sentences (known as well-formed formulas when relating to formal language), each of which is an axiom, an assumption, or follows from the preceding sentences in the sequence, according to the rule of inference. It differs from a natural language ...
List of paradoxes. Outline of public relations – Overview of and topical guide to public relations. Map–territory relation – Relationship between an object and a representation of that object (confusing map with territory, menu with meal) Mathematical fallacy – Certain type of mistaken proof.
This is a list of English words that are thought to be commonly misused. It is meant to include only words whose misuseis deprecated by most usage writers, editors, and professional grammarians defining the norms of Standard English. It is possible that some of the meanings marked non-standardmay pass into StandardEnglish in the future, but at ...
One valid argument form is known as modus ponens, not to be mistaken with modus tollens, which is another valid argument form that has a like-sounding name and structure. Modus ponens (sometimes abbreviated as MP) says that if one thing is true, then another will be. It then states that the first is true. The conclusion is that the second thing ...
The exception proves the rule is a phrase that arises from ignorance, though common to good writers. The original word was preuves, which did not mean proves but tests. [4] In this sense, the phrase does not mean that an exception demonstrates a rule to be true or to exist, but that it tests the rule, thereby proving its value.
Falsifiability (or refutability) is a deductive standard of evaluation of scientific theories and hypotheses, introduced by the philosopher of science Karl Popper in his book The Logic of Scientific Discovery (1934). [ B ] A theory or hypothesis is falsifiable if it can be logically contradicted by an empirical test.
The cut-elimination theorem for a calculus says that every proof involving Cut can be transformed (generally, by a constructive method) into a proof without Cut, and hence that Cut is admissible. The Curry–Howard correspondence between proofs and programs relates modus ponens to function application : if f is a function of type P → Q and x ...
Common English usage misconceptions. Text from Robert Louis Stevenson 's Strange Case of Dr Jekyll and Mr Hyde featuring one-sentence paragraphs and sentences beginning with the conjunctions "but" and "and". This list comprises widespread modern beliefs about English language usage that are documented by a reliable source to be misconceptions.