{"schema_version":"ocme-site-results-v1","locale":"zh-Hant","page_type":"derivations","facts":{"questions":36000,"reviewed":36000,"display_candidates":0,"knowledge":302,"guides":299,"paths":59,"batches":360,"families":1441,"atlas":302,"core":80,"evidence":9,"formal_evidence":5,"formal_subjects":4,"lean_files":6,"lean_toolchain":"leanprover/lean4:v4.30.0","question_state":"candidate","english_state":"ai_candidate","question_Lean":"NOT_RUN","canonical_truth_promotion":false},"filters":{"q":"mko-proposition"},"kind":"guides","total":1,"pages":1,"page":1,"entries":[{"id":"derivation-mko-proposition-01","title":{"zh-Hant":"命題：判定候選語句是否為命題，並區分「是命題」與「已證明為真」","en":"Proposition: deciding which candidate sentences are propositions, and separating 'is a proposition' from 'is proved true'"},"summary":{"zh-Hant":"在入門古典語境中，逐一判定下列候選是否為命題；是命題者再判定真假並給出理由：s1「7 是質數」；s2「4 是質數」；s3「7 是質數嗎？」；s4「計算 3+4。」；s5「x>0」（x 是未指定的整數變數），以及 s5 的封閉版本：代入 x=2 與 x=−1、加上 ∀x∈ℤ、加上 ∃x∈ℤ。","en":"In an introductory classical context, decide for each candidate whether it is a proposition, and for each proposition decide whether it is true, with reasons: s1 '7 is prime'; s2 '4 is prime'; s3 'Is 7 prime?'; s4 'Compute 3+4.'; s5 'x>0' (x an unassigned integer variable), together with closed versions of s5: substituting x=2 and x=−1, prefixing ∀x∈ℤ, and prefixing ∃x∈ℤ."},"mko_ids":["mko-proposition"]}],"title":"概念推導導讀"}