Search Results - "proposition"

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    Discrete Mathematics An Open Introduction by Levin, Oscar

    Published 2016
    Table of Contents: “…-- 0.2 Mathematical Statements -- 0.3 Sets -- 1 Counting -- 1.1 Additive and Multiplicative Principles -- 1.2 Binomial Coefficients -- 1.3 Combinations and Permutations -- 1.4 Combinatorial Proofs -- 1.5 Stars and Bars -- 1.6 Advanced Counting Using PIE -- 1.7 Chapter Summary -- 2 Sequences -- 2.1 Definitions -- 2.2 Arithmetic and Geometric Sequences -- 2.3 Polynomial Fitting -- 2.4 Solving Recurrence Relations -- 2.5 Induction -- 2.6 Chapter Summary -- 3 Symbolic Logic and Proofs -- 3.1 Propositional Logic -- 3.2 Proofs -- 3.3 Chapter Summary -- 4 Graph Theory -- 4.1 Definitions -- 4.2 Trees -- 4.3 Planar Graphs -- 4.4 Coloring -- 4.5 Euler Paths and Circuits -- 4.6 Matching in Bipartite Graphs -- 4.7 Chapter Summary -- 5 Additional Topics -- 5.1 Generating Functions -- 5.2 Introduction to Number Theory…”
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    Post-Digital, Post-Internet Art and Education The Future is All-Over /

    Published 2021
    Table of Contents: “…Post-Digital, Post-Internet: Propositions for Art Education in the Context of Digital Cultures -- 3. …”
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    Introduction to Logic and Critical Thinking by Van Cleave, Matthew

    Published 2016
    Table of Contents: “…-- 1.2 Identifying arguments -- 1.3 Arguments vs. explanations -- 1.4 More complex argument structures -- 1.5 Using your own paraphrases of premises and conclusions to reconstruct arguments in standard form -- 1.6 Validity -- 1.7 Soundness -- 1.8 Deductive vs. inductive arguments -- 1.9 Arguments with missing premises -- 1.10 Assuring, guarding, and discounting -- 1.11 Evaluative language -- 1.12 Evaluating a real-life argument -- Chapter 2: Formal methods of evaluating arguments -- 2.1 What is a formal method of evaluation and why do we need them? -- 2.2 Propositional logic and the four basic truth functional connectives -- 2.3 Negation and disjunction -- 2.4 Using parentheses to translate complex sentences -- 2.5 “Not both” and “neither nor” -- 2.6 The truth table test of validity -- 2.7 Conditionals -- 2.8 “Unless” -- 2.9 Material equivalence -- 2.10 Tautologies, contradictions, and contingent statements -- 2.11 Proofs and the 8 valid forms of inference -- 2.12 How to construct proofs -- 2.13 Short review of propositional logic -- 2.14 Categorical logic -- 2.15 The Venn test of validity for immediate categorical inferences -- 2.16 Universal statements and existential commitment -- 2.17 Venn validity for categorical syllogisms -- Chapter 3: Evaluating inductive arguments and probabilistic and statistical fallacies -- 3.1 Inductive arguments and statistical generalizations -- 3.2 Inference to the best explanation and the seven explanatory virtues -- 3.3 Analogical arguments -- 3.4 Causal arguments -- 3.5 Probability -- 3.6 The conjunction fallacy -- 3.7 The base rate fallacy -- 3.8 The small numbers fallacy -- 3.9 Regression to the mean fallacy -- 3.10 Gambler's fallacy -- Chapter 4: Informal fallacies -- 4.1 Formal vs. informal fallacies -- 4.1.1 Composition fallacy -- 4.1.2 Division fallacy -- 4.1.3 Begging the question fallacy -- 4.1.4 False dichotomy -- 4.1.5 Equivocation -- 4.2 Slippery slope fallacies -- 4.2.1 Conceptual slippery slope -- 4.2.2 Causal slippery slope -- 4.3 Fallacies of relevance -- 4.3.1 Ad hominem -- 4.3.2 Straw man -- 4.3.3 Tu quoque -- 4.3.4 Genetic -- 4.3.5 Appeal to consequences -- 4.3.6 Appeal to authority -- Answers to exercisesGlossary/Index…”
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    Nuel Belnap on Indeterminism and Free Action

    Published 2014
    Table of Contents: “…Introduction: The many branches of Belnap's knowledge; Müller, Thomas -- Decisions in branching time; Bartha; Paul -- Internalizing case-relative truth in CIFOL+; Belnap, Nuel -- A stit Logic Analysis of Morally Lucky and Legally Lucky Action Outcomes; Broersen, Jan -- Worlds Enough, and Time: Musings on Foundations; Brown, Mark -- Open Futures in the Foundations of Propositional Logic; Garson, James W -- On Saying What Will Be; Green, Mitchell -- The Intelligibility Question For Free Will: Agency, Choice And Branching Time; Kane, Robert -- What William of Ockham and Luis de Molina would have said to Nuel Belnap: A Discussion of some Arguments Against "The Thin Red Line"; Øhrstrøm, Peter -- Branching for general relativists; Placek, Tomasz -- Some examples formulated in a `seeing to it that' logic: Illustrations, observations, problems; Sergot, Marek -- In Retrospect: Can BST models be reinterpreted for what decisions, speciation events and ontogeny might have in common?…”
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