Logic B
General data
Course ID: | 3501-WISIP-L1B |
Erasmus code / ISCED: |
08.1
|
Course title: | Logic B |
Name in Polish: | Logic B |
Organizational unit: | Institute of Philosophy |
Course groups: | |
ECTS credit allocation (and other scores): |
(not available)
|
Language: | English |
Type of course: | obligatory courses |
Mode: | Classroom |
Short description: |
The class will be divided into two parts: I. Introduction to set theory. II. Informal methods of evaluating arguments. Fallacies. |
Full description: |
I. Introduction to set theory: 1. Basic concepts - set, membership relation, subset relation (inclusion), power set; 2. Algebra of sets - operations, laws, proofs; 3. Arbitrary unions and intersections; 4. Ordered pairs, Cartesian product; 5. Relations, functions, equivalence relations and ordering relations. II. Informal methods of evaluating arguments: sentences and propositions; speech acts and conversational acts; the basic structure of arguments; a general method of argument analysis; truth, validity and soundness; usefulness of arguments; discussion of real-life examples of reasoning. Inductive reasoning: induction, inductive generalizations; sources of bias (prejudice and stereotypes, slanted questions, informal judgmental heuristics); statistical syllogisms, reasoning about causes; necessary and sufficient conditions; problems in distinguishing sufficient conditions from necessary conditions; inferences to the best explanation, arguments from analogy. Fallacies: the notion of fallacy; fallacies of clarity (vagueness, sorites, conceptual slippery-slope arguments, fairness slippery-slope arguments, causal slippery-slope arguments, fallacies of ambiguity, the role of definitions); fallacies of relevance (arguments ad hominem, appeals to authority); fallacies of vacuity (circular reasoning, begging the question). |
Bibliography: |
Barbara Partee, Mathematical Methods in Ligustics Herbert B. Enderton, Elements of Set Theory. Fogelin, Robert; Sinnott-Armstrong, Walter, Understanding Arguments. An Introduction to Informal Logic, Harcourt Brace College Publishers 1997. Fisher, Alec, The Logic of Real Arguments, Cambridge University Press, Cambridge 1988. Supplementary Reading: Thomson, Anne: Critical Reasoning, Routledge. Walton, Douglas: Informal Logic, Cambridge University Press |
Learning outcomes: |
Knowledge: The student will be made familiar with the basic concepts of set theory and will be acquainted with the informal methods of evaluating arguments. (KW05, KW06, KW09, KW10, KW11) Skills: The student will learn to do proofs involving set-theoretic constructs and will be warned against possible reasoning fallacies and biases. (KU05, KU07, KU10, KU16) Social competence: Clarity of thought and inquisitiveness. (KK02) |
Assessment methods and assessment criteria: |
Class participation, two tests, and exam. Permissible number of absences: 2 |
Copyright by University of Warsaw.