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In logic, the logical form of a statement is a precisely-specified semantic version of that statement in a formal system. Informally, the logical form attempts to formalize a possibly ambiguous statement into a statement with a precise, unambiguous logical interpretation with respect to a formal system.
Logic forms are simple, first-order logic knowledge representations of natural language sentences formed by the conjunction of concept predicates related through shared arguments. Each noun, verb, adjective, adverb, pronoun, preposition and conjunction generates a predicate.
See logical form. logical theorem A proposition that has been proven to be true within a specific system of logic, based on the system's axioms and inference rules. logical truth A statement that is true in all possible worlds or under all possible interpretations, due to its logical form rather than the content of its terms. logical validity
Formal logic (also known as symbolic logic) is widely used in mathematical logic. It uses a formal approach to study reasoning: it replaces concrete expressions with abstract symbols to examine the logical form of arguments independent of their concrete content. In this sense, it is topic-neutral since it is only concerned with the abstract ...
"Some Remarks on Logical Form" (1929 [1]) was the only academic paper ever published by Ludwig Wittgenstein, and contained Wittgenstein's thinking on logic and the philosophy of mathematics immediately before the rupture that divided the early Wittgenstein of the Tractatus Logico-Philosophicus from the late Wittgenstein. [2]
At logical form, semantic relationships such as scope and binding are represented unambiguously, having been determined by syntactic operations such as quantifier raising. Other formal frameworks take the opposite approach, assuming that such relationships are established by the rules of semantic interpretation themselves.
The terminal yield of a surface structure tree, the surface form, is then predicted to be a grammatical sentence of the language being studied. The role and significance of deep structure changed a great deal as Chomsky developed his theories, and since the mid-1990s deep structure no longer features at all [ 6 ] (see minimalist program ).
In logic and formal semantics, term logic, also known as traditional logic, syllogistic logic or Aristotelian logic, is a loose name for an approach to formal logic that began with Aristotle and was developed further in ancient history mostly by his followers, the Peripatetics. It was revived after the third century CE by Porphyry's Isagoge.