19.1One-Page Memory Sheet#
In brief
Covers Argument, A E I O, Square, Conversion, Syllogism and more.
- Argument
- valid/invalid
- strong/weak
- true/false
- sound
- A E I O
- Square
- Conversion
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Argument: premises + one conclusion; valid/invalid for deduction; strong/weak for induction; true/false for statements; sound = valid + true premises.
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A E I O: A distributes S; E both; I neither; O only P.
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Square: Contradictories A–O, E–I; Contraries A–E (both can be false); Subcontraries I–O (both can be true); Subalternation A→I, E→O.
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Conversion: A to I (limitation); E to E; I to I; O no. Obversion: all. Contraposition: A, O (and E by limitation); not I.
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Syllogism: 3 terms, 64 moods, 4 figures, 256 forms, 24 valid, 15 unconditional (Boolean). Middle term distributed at least once; no two negative premises; no two particular premises; negative premise gives negative conclusion.
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Figures: F1 Barbara, Celarent, Darii, Ferio; F2 Cesare, Camestres, Festino, Baroko (conclusion always negative); F3 Disamis, Datisi, Bocardo, Ferison (conclusion always particular); F4 Camenes, Dimaris, Fresison.
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Formal fallacies: undistributed middle, illicit major/minor, exclusive premises, four terms, affirming the consequent, denying the antecedent.
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Informal: relevance (ad hominem, baculum, misericordiam, populum, verecundiam, ignorantiam, ignoratio elenchi); presumption (petitio, complex question, false cause, accident, converse accident); ambiguity (equivocation, amphiboly, accent, composition, division).
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Language: informative, expressive, directive. Connotation = intension; denotation = extension; inverse relation.
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Mill: Agreement, Difference, Joint, Residues, Concomitant Variation.
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Venn: shade = empty; X = at least one; test by diagramming premises only.
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Pramana count: 1 Charvaka; 2 Vaisheshika, Buddhism; 3 Samkhya, Yoga; 4 Nyaya; 5 Prabhakara; 6 Bhatta, Advaita.
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Sannikarsha: 6 laukika + 3 alaukika (samanyalakshana, jnanalakshana, yogaja).
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Anumana: purvavat, sheshavat, samanyatodrishta; svartha/parartha; kevalanvayi, kevalavyatireki, anvayavyatireki. 5 members: Pratijna, Hetu, Udaharana, Upanaya, Nigamana.
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Hetvabhasa: Savyabhichara, Viruddha, Satpratipaksha, Asiddha, Badhita.
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Upamana: gavaya example; Shabda: akanksha, yogyata, sannidhi (+ tatparya); Arthapatti: anyathanupapatti, fat Devadatta; Anupalabdhi: four abhavas.