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Syllabus

EN IT

Learning Objectives

Through this course, students will be able to:

KNOWLEDGE AND COMPREHENSION SKILLS:
- Acquire and demonstrate mastery of the fundamental theoretical and technical concepts concerning classical propositional logic and the predicate calculus.
- Understand and be able to apply the logical methods of truth tables and refutation trees (i) to the analysis of arguments expressed in the natural language and (ii) to the understanding of the most relevant methodological problems in general philosophy of science.
- Identify key theories and concepts in philosophy of science, show capability to highlight their logical and philosophical interconnections.

Program

Topic 1 The language of propositional classical logic
Topic 2 Truth tables, tautologies, and contradictions
Topic 3 The language of predicate calculus and the identity relation
Topic 4 Truth in a model, logical validity
Topic 5 Formalization of natural language sentences
Topic 6 Deductive vs inductive rasoning
Topic 7 Types of inductive inferences
Topic 8 Russell on inductive knowledge
Topic 9 Poppers criticism of inductivism in the philosophy of science
Topic 10 Popper's falsificationism

Books

J. Nolt, A. Rohatyn, and A. Varzi. Logic, McGraw-Hill (Selected parts)
B. Russell. The Problems of Philosophy, OUP (Selected parts)
S. Okasha. Philosophy of Science, OUP

Bibliography

J. Nolt, A. Rohatyn, and A. Varzi. Logic, McGraw-Hill (Selected parts)
B. Russell. The Problems of Philosophy, OUP (Selected parts)
S. Okasha. Philosophy of Science, OUP

Teaching methods

In-class teaching

Exam Rules

For assessment purposes, the following scheme will be used:

Not Suitable: major deficiencies and/or inaccuracies in knowledge and understanding of the topics; very limited capability to solve the proposed exercises correctly and efficiently; very limited critical and judgmental skills; topics are exposed inconsistently and with inappropriate language.

18-20: Barely sufficient knowledge and understanding of the topics, with possible generalizations and imperfections; barely sufficient ability to solve the proposed exercises; topics are frequently stated inconsistently and with inappropriate philosophical language.

21-23: Mediocre knowledge and understanding of the topics; mediocre capability to solve the proposed exercises correctly; mediocre capability of analysis and synthesis; the topics are frequently expounded inconsistently and with little appropriate language.

24-26: Fair knowledge and understanding of the topics; good ability to solve the proposed exercises; capability of analysis and synthesis through arguments expressed rigorously, yet the language is not always appropriate.

27-29: Comprehensive knowledge and understanding of the topics; remarkable ability of analysis and synthesis; very good ability to solve the proposed exercises; good capability to produce independent and original judgments. Topics expounded rigorously and with appropriate philosophical language
30-30L: Excellent level of knowledge and understanding of the topics associated with a great ability to produce original and coherent arguments. Excellent ability to solve the exercises in an efficient way by means of the different techniques proposed during the course.