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  1. 1. WHAT IS LOGIC? Logic may be defined as the science of reasoning. However, this is not to suggest that logic is an empirical (i.e., experimental or observational) science like physics, biology, or psychology. Rather, logic is a non-empirical science like mathematics. Also, in saying that logic is the science of reasoning, we do not mean

  2. 1. Peter Smith, Introduction to Formal Logic** (2nd edition, CUP, 2020; corrected version now freely downloadable from logicmatters.net/i ). The rst edition was the rst year text in Cambridge for a decade. Written as an accessible teach-yourself book, it covers basic proposi-tional and predicate logic.

  3. printing in 2022, substantial texts aimed at students which promised to be of particular interest to readers of this Study Guide. Joseph Mileti’s Modern Math-ematical Logic (CUP, 2023) ranges widely over first-order logic, some model theory, set theory, arithmetic and computability. Despite the title, however, the

  4. 1 Ιουν 2021 · This text takes the unique approach of teaching logic through intellectual history; the author uses examples from important and celebrated arguments in philosophy to illustrate logical principles. The text also includes a basic introduction to findings of advanced logic.

  5. Interpret and use basic mathematical symbols of logic, including symbols for conjunction, dis-junction, negation, implication (conditional proposition), logical equivalence, propositional function, universal quantifier, existential quantifier. Construct and use truth tables to prove propositions.

  6. 1. What is mathematical logic about? • provide a uniform, unambiguous language for mathematics • make precise what a proof is • explain and guarantee exactness, rigor and certainty in mathematics • establish the foundations of mathematics B1 (Foundations) = B1.1 (Logic) + B1.2 (Set theory) N.B.: Course does not teach you to think ...

  7. Chapter One introduces basic notions, such as arguments and explanations, validity and soundness, deductive and inductive reasoning; it also covers basic analytical techniques, such as distinguishing premises from conclusions and

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