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equipollence

equipollence

9.9
Two statements or formulas that are both true or both false
  • noun
  • /ˌiːkwɪˈpɒləns/
  • Specialized
translation icon : equipolencia
  • In logic, equipollence means that two statements always have the same truth value.

Examples

  • The mathematician demonstrated the equipollence of the two complex formulas.

  • The debate centered on the equipollence between competing philosophical theories.

  • The concept of equipollence is crucial in logical reasoning.

  • In mathematics, equipollence can help simplify complex problems.

  • In logic, equipollence refers to the situation where two propositions hold the same truth value across all possible scenarios.

  • The principle of equipollence allows us to argue that if two arguments yield the same conclusion, they are logically equivalent.

  • Understanding equipollence is essential for evaluating different logical statements in formal reasoning.

Synonyms

equivalence
vsequipollence
18 6.2

A situation where two things have the same value, meaning, or effect

focuses on truth value and consequences rather than broad similarity
equivalency
vsequipollence
  • Specialized
1 7.3

Being equal in logic or mathematics so expressions can replace each other

focuses on having the same truth value or consequences in logical contexts

How Equivalent

equivalence
18 6.2
equipollence
  • Specialized
9.9
relatedness
2 5.5
difference
1.0

Surface Forms

equipollence singular
equipollences plural

Morphology

equipollence = equipollent (opaque) = equi + pollent + ence

Nominalization from the rare adjective 'equipollent' is regular, but the adjective itself and its combining parts are uncommon and not obvious to learners.

Etymology

Equipollence comes from Latin parts aequi- and pollens, which mean 'equal' and 'power'. In logic, it describes two statements that are 'equal in truth' — both true or both false — so they lead to the same logical result.