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  1. Apr 30, 2021 · A binary relation E over a set P is well-founded if every nonempty X ⊆ P has an E -minimal element, that is a ∈ X such that there is no x ∈ X with xEa. (Jech, Set Theory, 1978) (Jech then immediately states as an exercise that it is a theorem of the definition that there are no infinite descending chains.)

  2. well founded. adjective. /ˌwel ˈfaʊndɪd/. /ˌwel ˈfaʊndɪd/. (also less frequent well grounded) having good reasons or evidence to cause or support it. well-founded suspicions. His fear turned out to be well founded. Our suspicions were well founded.

  3. What does the adjective well-founded mean? There are two meanings listed in OED's entry for the adjective well-founded . See ‘Meaning & use’ for definitions, usage, and quotation evidence.

  4. based on facts: [ before noun ] He had to show that he had a well-founded fear of persecution on religious or political grounds to qualify as a refugee. SMART Vocabulary: related words and phrases. True, real, false, and unreal. actuality. actually. all that glitters is not gold idiom. anger. falsely. fantastical. fever dream. fictionality.

  5. Well-founded definition: having a foundation in fact; based on good reasons, information, etc.. See examples of WELL-FOUNDED used in a sentence.

  6. wellfounded (adjective) well–founded /ˌwɛl ˈ faʊndəd/ adjective. Britannica Dictionary definition of WELL–FOUNDED. [more well–founded; most well–founded] : based on good reasoning, information, or judgment. well-founded fears/advice.

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  8. well-founded meaning, definition, what is well-founded: a belief or feeling etc that is well-fou...: Learn more.

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