Logic

Logic#




Resources#

David Agler [ Home ] [ YouTube ]

[ y ] 08-24-2025 Alex O’Connor. “How to Use Logic to Make Better Arguments - Joe Folley”.

Jan Reimann. Math 557, Mathematical Logic, Penn State, Spring 2021.

  • [ y ] 01-31-2021. “Math 557 - Cardinals and Alephs”.

  • [ y ] 02-03-2021. “Math 557 - Cardinal arithmetic and the Continuum Hypothesis”.

  • [ y ] 02-06-2021. “Math 557 – Cofinality”.

  • [ y ] 02-07-2021. “Math 557 – First-order languages”.

  • [ y ] 02-08-2021. “Math 557 – Properties of terms and formulas”.

  • [ y ] 02-09-2021. “Math 557 – Semantics of First-order Logic”.

  • [ y ] 02-23-2021. “Math 557 – Validities”.

  • [ y ] 02-23-2021. “Math 557 – Substitution”.

  • [ y ] 02-23-2021. “Math 557 – Logical Implication and Proof”.

  • [ y ] 02-23-2021. “Math 557 – Consistency and Completeness”.

  • [ y ] 02-23-2021. “Math 557 – The Completeness Theorem”.

  • [ y ] 02-28-2021. “Math 557 – Henkin Theories”.

  • [ y ] 02-26-2021. “Math 557 – Completing Theories”.

  • [ y ] 03-02-2021. “Math 557 — Proving the Model Existence Theorem”.

  • [ y ] 03-06-2021. “Math 557 - Elementary Equivalence”.

  • [ y ] 03-08-2021. “Math 557 – Elementary Substructures”.

  • [ y ] 03-07-2021. “Math 557 – The Löwenheim-Skolem Theorems”.

  • [ y ] 03-13-2021. “Math 557 – Quantifier Elimination”.

  • [ y ] 03-16-2021. “Math 557 – Quantifier Elimination for Algebraically Closed Fields”.

  • [ y ] 03-20-2021. “Math 557 – Turing Machines”.

  • [ y ] 03-22-2021. “Math 557 – Enumerating Turing Machines”.

  • [ y ] 03-23-2021. “Math 557 – Unsolvable Problems”.

  • [ y ] 03-28-2021. “Math 557 – Primitive recursive functions”.

  • [ y ] 03-28-2021. “Math 557 – The Ackermann function”.

  • [ y ] 03-31-2021. “Math 557 – Recursive Functions”.

  • [ y ] 04-03-2021. “Math 557 – Coding Formulas”.

  • [ y ] 04-05-2021. “Math 557 – Deciding Theories”.

  • [ y ] 04-11-2021. “Math 557 – Peano Arithmetic”.

  • [ y ] 04-12-2021. “Math 557 – Arithmetic Formulas”.

  • [ y ] 04-13-2021. “Math 557 – Defining Computable Functions in Arithmetic”.

Jan Reimann. MATH 574, Topics in Logic, Penn State, Spring 2014.

  • [ y ] 02-13-2015. “Math 574, Introductory Lecture: three approaches to quantity of information”.

  • [ y ] 02-13-2015. “Math 574, Lesson 1-1: Strings”.

  • [ y ] 02-13-2015. “Math 574, Lesson 1-2: Sequence Spaces”.

  • [ y ] 01-13-2014. “Math 574, Lesson 1-3: Infinite paths through trees”.

  • [ y ] 02-13-2015. “Math 574, Lesson 1-4: Measure Spaces”.

  • [ y ] 02-13-2015. “Math 574, Lesson 1-5: Measures on Sequence Spaces”.

  • [ y ] 02-13-2015. “Math 574, Lesson 1-6: Stochastic Processes”.

  • [ y ] 02-04-2014. “Math 574, Lesson 2-1: Finite Automata”.

  • [ y ] 02-09-2014. “Math 574, Lesson 2-2: Turing Machines”.

  • [ y ] 02-13-2015. “Math 574, Lesson 2-3: Turing machines - an example”.

  • [ y ] 02-13-2015. “Math 574, Lesson 2-4: Computable Functions”.

  • [ y ] 02-13-2015. “Math 574. Lesson 2-5: The Halting Problem”.

  • [ y ] 02-13-2015. “Math 574, Lesson 2-6: Undecidability of the Halting Problem”.

  • [ y ] 02-13-2015. “Math 574, Lesson 3-1: Subshifts”.

  • [ y ] 02-13-2015. “Math 574, Lesson 3-2: Measurable Dynamics”.

  • [ y ] 02-13-2015. “Math 574, Lesson 3-3: Markov Shifts”.

  • [ y ] 02-13-2015. “Math 574, Lesson 3-3: Markov Shifts”.

  • [ y ] 02-13-2015. “Math 574, Lesson 3-4: Markov Chains”.

  • [ y ] 02-13-2015. “Math 574, Lesson 3-5: Ergodicity”.

  • [ y ] 02-13-2015. “Math 574, Lesson 3-6: The Ergodic Theorem”.

  • [ y ] 02-13-2015. “Math 574, Lesson 4-1: Information Measures”.

  • [ y ] 02-13-2015. “Math 574, Lesson 4-2: The Definition of Entropy”.

  • [ y ] 02-13-2015. “Math 574, Lesson 4-3: Kolmogorov Complexity”.

  • [ y ] 02-13-2015. “Math 574, Lesson 4-4: Prefix-free Complexity”.

  • [ y ] 02-13-2015. “Math 574, Lesson 4-5: Mutual Information”.

  • [ y ] 02-13-2015. “Math 574, Lesson 5-1: Optimal Codes”.

Attic Philosophy

  • [ y ] 07-07-2025 “Type Theory in Computer Science, Linguistics, Logic”.

  • [ y ] 04-26-2025 “Proofs are Programs”.

  • [ y ] 01-07-2023 “How to understand Sequent Calculus”.

More

  • [ y ] 06-14-2025 Eyesomorphic. “Programming with Math | The Lambda Calculus”.

  • [ y ] 03-07-2024 All Angles. “How to unify logic & arithmetic”.

  • [ y ] 01-13-2024 UCLA Automated Reasoning Group. “Beyond Truth & Falsehood: Logic as a Calculus of Events”.




Texts#

  • 2012 Agler, David W. Symbolic Logic: Syntax, Semantics, and Proof. Bloomsbury (Rowman & Littlefield).

  • 2002 Andrews, Peter B. An Introduction to Mathematical Logic and Type Theory: To Truth Through Proof. Springer: Applied Logic Series.

  • 2017 Ayala-Rincón, Mauricio & Flávio L. C. de Moura. Applied Logic for Computer Scientists: Computational Deduction and Formal Proofs. Springer: Undergraduate Topics in Computer Science.

  • 1952 Ayer, Alfred J. Language, Truth, and Logic. Dover.

  • 2007 Boolos, George s.; John H. Burgess; & Richard C. Jeffrey. Computability and Logic. 5e. Cambridge University Press.

  • 2012 Burgess, John P. Philosophical Logic. Princeton University Press.

  • 1958 Carroll, Lewis. Symbolic Logic and the Game of Logic. Dover.

  • 2016 Cellucci, Carlo. Rethinking Logic: Logic in Relation to Mathematics, Evolution, and Method. Springer.

  • 2022 Csirmaz, Laszlo & Zalán Gyenis. Mathematical Logic: Exercises and Solutions. Springer: Problem Books in Mathematics.

  • 2003 Dau, Frithjof. The Logic System of Concept Graphs with Negation: And Its Relationship to Predicate Logic. Springer: Lecture Notes in Computer Science.

  • 2018 De Swart, Harrie. Philosophical and Mathematical Logic. Springer Undergraduate Texts in Philosophy.

  • 2001 Enderton, Herbert B. A Mathematical Introduction to Logic. 2e. Academic Press.

  • 2019 Freund, Max A. The Logic of Sortals: A Conceptualist Approach. Springer: Synthese Library.

  • 2020 Gamut, L. T. F. Logic, Language, and Meaning, Vol. I: Introduction to Logic. University of Chicago Press.

  • 2020 Gamut, L. T. F. Logic, Language, and Meaning, Vol. II: Intensional Logic and Logical Grammar. University of Chicago Press.

  • 1978 Haack. Susan. Philosophy of Logics. Cambridge University Press.

  • 2009 Harrison, John. Handbook of Practical Logic and Automated Reasoning. Cambridge University Press.

  • 1974 Hill, Fredrick J. & Gerald R. Peterson. Introduction to Switching Theory and Logical Design 2e. John Wiley & Sons.

  • 2016 Hitzler, Pascal & Anthony Seda. Mathematical Aspects of Logic Programming Semantics. CRC Press.

  • ???? Iacona, Andrea. LOGIC: Lecture Notes for Philosophy, Mathematics, and Computer Science. Springer Undergraduate Texts in Philosophy.

  • 2019 Jongsma, Calvin. Introduction to Discrete Mathematics via Logic and Proof. Springer Undergraduate Texts in Mathematics.

  • 1992 Kac, Mark & Stanislaw M. Ulam. Mathematics and Logic. Dover.

  • 1981 Kripke, Saul. Naming and Necessity. Wiley-Blackwell.

  • 2015 Leary, Christopher & Lars Kristiansen. A Friendly Introduction to Mathematical Logic. Milne Library.

  • ???? Mates, Benson. Stoic Logic.

  • 2015 Mendelson, Elliot. Introduction to Mathematical Logic. CRC Press..

  • 2023 Milanic, Martin; Brigitte Servatius; & Herman Servatius. Discrete Mathematics with Logic. Acadmeic Press.

  • 1997 Nerode, Anil & Richard A. Shore. Logic for Applications. 2e. Springer: Graduate Texts in Computer Science.

  • 2012 Novaes, Catarina Dutilh. Formal Languages in Logic: A Philosophical and Congitive Analysis. Cambridge University Press.

  • 1991 Parry, William T. & Edward A. Hacker. Aristotelian Logic. SUNY Press.

  • 2021 Peregrin, Jaroslav. Philosophy of Logical Systems. Routledge Studies in Contemporary Philosophy.

  • 1986 Quine, Willard Van Orman. Philosophy of Logic. 2e. Harvard University Press.

  • 2011 Rini, Adriane. Aristotle’s Modal Proofs: Prior Analytics A8-22 in Predicate Logic. Springer: The New Synthese Historical Library.

  • 2010 Sider, Theodore. Logic for Philosophy. Oxford University Press.

  • 2012 Soames, Scott. Philosophy of Language. Princeton University Press.

  • 2022 Stillwell, John. The Story of Proof: Logic and the History of Mathematics. Princeton University Press.

  • 2010 Suppes, Patrick & Shirley Hill. First Course in Mathematical Logic. Dover.

  • 2004 Vingron, Shimon Peter. Switching Theory: Insight through Predicate Logic. Springer.

  • 2018 Wasilewska, Anita. Logics for Computer Science: Classical and Non-Classical. Springer.




Figures#




Terms#

  • [ w ] Algebraic Normal Form

  • [ w ] Binary Decision Diagram

  • [ w ] Blake Canonical Form

  • [ w ] Boole’s Expansion Theorem

  • [ w ] Boolean Function

  • [ w ] Canonical Normal Form

  • [ w ] Conjunctive Normal Form

  • [ w ] Disjunctive Normal Form

  • [ w ] Don’t Care Term

  • [ w ] Horn Clause

  • [ w ] Negation Normal Form

  • [ w ] Product Term

  • [ w ] Reed-Muller Expansion

  • [ w ] Abduction

  • [ w ] Abjunction

  • [ w ] Abstract Rewriting System

  • [ w ] Aggrippan Trilemma

  • [ w ][ s ] Algebra

  • [ w ][ s ] Algebra of Logic

  • [ w ][ s ] Algebraic Propositional Logic

  • [ w ] Alphabet

  • [ w ] Ampliativity

  • [ w ][ s ] Analysis

  • [ w ][ s ] Ancient Logic

  • [ w ] Antecedent

  • [ w ] Argument

  • [ w ] Argumentation Theory

  • [ w ] Aristotelian Logic

  • [ w ] Arity

  • [ w ] Atomic Formula

  • [ w ] Atomic Sentence

  • [ w ] Axiom

  • [ w ] Axiom Schema

  • [ w ] Barcan Formula

  • [ w ] Biconditional

  • [ w ] Boolean Algebra

    • [ s ] Boolean Algebra, Mathematics

  • [ w ] Boolean Algebra Structure

  • [ w ] Boolean Function

  • [ w ] Buridan Formula

  • [ w ] Canonical Normal Form

  • [ w ] Cardinality

  • [ w ] Categorical Proposition

  • [ w ][ s ] Category Theory

  • [ w ][ s ] Classical Logic

  • [ w ] Combinational Logic

  • [ w ][ s ] Combinatory Logic

  • [ w ] Compactness Theorem

  • [ w ] Completeness

  • [ w ] Compound Proposition

  • [ w ] Comprehension

  • [ w ][ s ] Conditional

  • [ w ] Confluence

  • [ w ] Conjunction

  • [ w ] Conjunctive Normal Form

  • [ w ][ s ] Connexive Logic

  • [ w ] Connotation

  • [ w ] Consequent

  • [ w ] Consistency

  • [ w ] Constant Symbol

  • [ w ] Constructive Dilemma

  • [ w ] Contingency

  • [ w ][ s ] Contradiction

  • [ w ] Contraposition

  • [ w ] Converse Conditional/Implication

  • [ w ] Converse Nonimplication

  • [ w ][ s ] Counterfactual

  • [ w ] Criteria of Truth

  • [ w ] Critical Thinking

  • [ w ] De Dicto

  • [ w ] De Morgan’s Laws

  • [ w ] De Re

  • [ w ] Deductive Reasoning

  • [ w ] Defeasible Reasoning

  • [ w ][ s ] Definition

  • [ w ] Denotation

  • [ w ] Deontic Logic

  • [ w ] Destructive Dilemma

  • [ w ] Diagonal Lemma

  • [ w ] Disjunction

  • [ w ] Disjunctive Normal Form

  • [ w ] Disjunctive Syllogism

  • [ w ] Domain of Discourse

  • [ w ] Enthymeme ἐνθύμημα

  • [ w ] Enumeration

  • [ w ] Equivocation

  • [ w ] Exclusive Disjunction

  • [ w ] Existential Generalization

  • [ w ] Existential Instantiation

  • [ w ] Existential Quantification

  • [ w ] Explicit Substitution

  • [ w ] Extension, Predicate Logic

  • [ w ] Extension, Semantics

  • [ w ] Extensionality

  • [ w ] Fallacy

  • [ w ] Falsity

  • [ w ] Falsum

  • [ w ] Finitarity

  • [ w ] First-Order Logic

  • [ w ] Formal Language

  • [ w ] Formal Proof

  • [ w ] Formal Semantics

  • [ w ] Formal System

  • [ w ] Formalism

  • [ w ] Formation Rule

  • [ w ] Formula, Closed

  • [ w ] Formula

  • [ w ] Formula, Open

  • [ w ] Free Object

  • [ w ] Frege’s Principle

  • [ w ] Function Symbol

  • [ w ] Functional Completeness

  • [ w ] Functional Predicate

  • [ w ][ s ] Future Contingent

  • [ w ][ s ] Fuzzy Logic

  • [ w ][ s ] Generalized Quantifier

  • [ w ] Gödel’s Completeness Theorems

  • [ w ] Gödel’s Incompleteness Theorems

  • [ w ] Ground Expression

  • [ w ] Herbrand Structure

  • [ w ] Heuristic

  • [ w ] Higher-Order Logic

  • [ w ] History of Logic

  • [ w ] Hypothetical Syllogism

  • [ w ][ s ] Identity of Indiscernibles

  • [ w ] If and only if

  • [ w ] Implication

  • [ w ] Inclusion

  • [ w ] Inclusive Disjunction

  • [ w ] Indian Logic

  • [ w ] Induction

  • [ w ] Inference

  • [ w ] Infinitarity

  • [ w ] Infinite Regress

  • [ w ] Infix Notation

  • [ w ] Informal Logic

  • [ w ] Intension

  • [ w ] Intensional Logic

  • [ w ] Interpretation, Logical

  • [ w ] Interpretation, Model-Theoretic

  • [ w ][ s ] Intuitionistic Logic

    • [ s ] The Development of Intuitionistic Logic

  • [ w ] Inverse

  • [ w ] Islamic Logic

  • [ w ] Justification

  • [ w ] Knowledge, definitions

  • [ w ] Law of Bivalence

  • [ w ] Law of Explosion

  • [ w ] Law of Excluded Middle

  • [ w ] Law of Identity

  • [ w ] Law of Non Contradiction

  • [ w ] Law of Thought

  • [ w ][ s ] Liar Paradox

  • [ w ][ s ] Linear Logic

  • [ w ] Logic

    • [ w ][ s ] Logic and Games

    • [ w ][ s ] Logic and Ontology

    • [ w ][ s ] Logic of Belief Revision

  • [ w ] Logica Nova

  • [ w ] Logical AND

  • [ w ] Logical Assertion

  • [ w ] Logical Atomism

  • [ w ] Logical Biconditional

  • [ w ] Logical Connective

  • [ w ][ s ] Logical Consequence

  • [ w ][ s ] Logical Constant

  • [ w ] Logical Equivalence

  • [ w ] Logical Fallacy

  • [ w ][ s ] Logical Form

  • [ w ] Logical Interpretation

  • [ w ] Logical NAND

  • [ w ] Logical NOR

  • [ w ] Logical NOT

  • [ w ] Logical Operation

  • [ w ] Logical OR

  • [ w ] Logical Positivism

  • [ w ] Logical Structure

  • [ w ] Logical Symbol

  • [ w ][ s ] Logical Truth

  • [ w ] Logical XNOR

  • [ w ] Logical XOR

  • [ w ][ s ] Logicism

  • [ w ][ s ] Many-Valued Logic

  • [ w ] Material Biconditional

  • [ w ] Material Conditional/Implication

  • [ w ] Material Nonimplication

  • [ w ] Mathematical Constant

  • [ w ] Mathematical Expression

  • [ w ] Mathematical Induction

  • [ w ] Mathematical Language

  • [ w ] Mathematical Logic

  • [ w ] Mathematical Model

  • [ w ] Mathematical Structure

  • [ w ] Mathematical Variable

  • [ w ] Metalogic

  • [ w ] Metavariable

  • [ w ] Middle Term

  • [ w ][ s ] Modal Logic

  • [ w ][ s ] Model Theory

    • [ s ] First Order Model Theory

  • [ w ] Modus Ponens

  • [ w ] Modus Tollens

  • [ w ] Montague Grammar

  • [ w ][ s ] Montague Semantics

  • [ w ] Natural Deduction

  • [ w ] Natural Number

  • [ w ] Necessity

  • [ w ][ s ] Negation

  • [ w ] Non Logical Symbol

  • [ w ] Normal Form

  • [ w ] Operand

  • [ w ] Operation

  • [ w ][ s ] Paraconsistent Logic

  • [ w ][ s ] Paradox

  • [ w ] Particular

  • [ w ] Philosophical Logic

  • [ w ] Philosophy of Language

  • [ w ] Philosophy of Logic

  • [ w ][ s ] Plural Quantification

  • [ w ] Polish Notation

  • [ w ] Possible World

  • [ w ] Predicate

  • [ w ] Predicate, Grammatical

  • [ w ] Predicate Logic

  • [ w ] Predicate Variable

  • [ w ] Predication

  • [ w ] Premise

  • [ w ] Prenex Normal Form

  • [ w ] Principle of Compositionality

  • [ w ] Problem of the Criterion

  • [ w ] Problem of Future Contingents

  • [ w ] Problem of Universals

  • [ w ] Product Term

  • [ w ] Proof System

  • [ w ] Proof Theory

    • [ s ] Proof-Theoretic Semantics

  • [ w ] Proposition

  • [ w ] Propositional Formula

  • [ w ] Propositional Function

  • [ w ] Propositional Logic

  • [ w ] Propositional Variable

  • [ w ][ s ] Quantifier

  • [ w ] Reason

  • [ w ] Recursion

  • [ w ] Recursive Definition

  • [ w ] Reduct

  • [ w ] Reductio ad absurdum

  • [ w ] Reduction System

  • [ w ][ s ] Reference

  • [ w ] Regress Argument

  • [ w ] Relation

  • [ w ] Relation, Finitary

  • [ w ][ s ] Relevance

  • [ w ] Resolution

  • [ w ] Rewriting

  • [ w ] Rule of Inference

  • [ w ][ s ] Russell’s Paradox

  • [ w ] Satisfiability

  • [ w ] Scope

  • [ w ][ s ] Second-Order Logic

  • [ w ][ s ] Self-Reference

  • [ w ] Sentence

  • [ w ] Sequence

  • [ w ] Sequent

  • [ w ] Sequent Calculus

  • [ w ] Sheffer Stroke

  • [ w ] Sign

  • [ w ] Signature

  • [ w ][ s ] Sorites Paradox

  • [ w ] Soundness

  • [ w ][ s ] Square of Opposition

  • [ w ] Statement

  • [ w ] Stoic Logic

  • [ w ] String

  • [ w ] Structure

  • [ w ] Subject

  • [ w ] Subjunctive Possibility

  • [ w ] Substitution

  • [ w ][ s ] Substructural Logic

  • [ w ] Sufficiency

  • [ w ] Syllogism

    • [ s ] Medieval Theories of the Syllogism

  • [ w ] Syntax

  • [ w ][ s ] Synthesis

  • [ w ] Tautology ταυτολογία

  • [ w ][ s ] Temporal Logic

  • [ w ] Term

  • [ w ] Term Algebra

  • [ w ] Term Logic

  • [ w ] Three-Valued Logic

  • [ w ] Transition System

  • [ w ] Truth

  • [ w ] Truth Table

  • [ w ][ s ] Truth Value

  • [ w ] Truth Function

  • [ w ] Truth-Bearer

  • [ w ][ s ] Type Theory

    • [ s ] Intuitionistic Type Theory

  • [ w ] Unification

  • [ w ] Uninterpreted Function

  • [ w ] Universal

  • [ w ] Universal Algebra

  • [ w ] Universal Generalization

  • [ w ] Universal Instantiation

  • [ w ] Universal Quantification

  • [ w ] Vacuous Truth

  • [ w ][ s ] Vagueness

  • [ w ] Validity

  • [ w ] Valuation

  • [ w ] Variable, Bound

  • [ w ] Variable, Free

  • [ w ] Venn Diagram

  • [ w ] Verum

  • [ w ][ s ] Vienna Circle

  • [ w ] Well-Formed Formula (wff)

  • [ w ] Zeroth-Order Logic

  • [ w ] Ad Hominem [argumentum ad hominem]

  • [ w ] Affirmative Conclusion from a Negative Premise

  • [ w ] Affirming the Consequent

  • [ w ] Affirming a Disjunct

  • [ w ] Appeal to Consequences [argumentum ad consequentiam]

  • [ w ] Appeal to Emotion [argumentum ad passiones]

  • [ w ] Appeal to Fear [argumentum ad metum, argumentum in terrorem]

  • [ w ] Appeal to Flattery [argumentum ad superbiam]

  • [ w ] Appeal to Pity [argumentum ad misericordiam]

  • [ w ] Appeal to Ridicule [argumentum ad absurdo]

  • [ w ] Appeal to Spite [argumentum ad odium]

  • [ w ] Argument from Authority, Appeal to Authority [argumentum ab auctoritate, argumentum ad verecundiam]

  • [ w ] Argument from Fallacy

  • [ w ] Argument from Ignorance, Appeal to Ignorance [argumentum ad ignorantiam]

  • [ w ] Argument from Silence [argumentum ex silentio]

  • [ w ] Begging the Question [petitio principii]

  • [ w ] Cherry Picking

  • [ w ] Circular Reasoning

  • [ w ] Cognitive Biases (list)

  • [ w ] Confusion of the Inverse

  • [ w ] Contextomy (quoting out of context)

  • [ w ] Denying the Antecedent

  • [ w ] Equivocation

  • [ w ] Fallacies (list)

  • [ w ] Fallacy of Composition

  • [ w ] Fallacy of Definition

  • [ w ] Fallacy of Division

  • [ w ] Fallacy of Four Terms

  • [ w ] Fallacy of the Single Cause

  • [ w ] Fallacy of the Undistributed Middle

  • [ w ] False Dilemma

  • [ w ] Faulty Generalization

  • [ w ] Formal Fallacy

  • [ w ] Illicit Major

  • [ w ] Illicit Minor

  • [ w ] Informal Fallacy

  • [ w ] Irrelevant Conclusion [ignoratio elenchi]

  • [ w ] Jumping to Conclusions

  • [ w ] Ludic Fallacy

  • [ w ] Mathematical Fallacy

  • [ w ] Principle of Charity

  • [ w ] Principle of Humanity

  • [ w ] Procatalepsis

  • [ w ] Red Herring

  • [ w ] Reification

  • [ w ] Slippery Slope

  • [ w ] Sorites Paradox

  • [ w ] Strawman

  • [ w ] Trivial Objection

  • [ w ] Wishful Thinking