INTRODUCTION T O L O G I C
Sets, Relations, and Arguments
Volker Halbach
Pure logic is the ruin of the spirit.
Antoine de Saint-Exupéry
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Logic: Sets, Relations, and Arguments - An Introduction, Summaries of Logic
An introduction to logic, focusing on sets, relations, and arguments. It covers the definition of declarative sentences, arguments, validity, and contradiction. The document also discusses the importance of logic in philosophy and provides examples of sets and binary relations. It includes references to the books 'Te Logic Manual' and 'Logical Forms: An Introduction to Philosophical Logic'.
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2021/2022
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INTRODUCTION TO LO GIC
Sets, Relations, and Arguments
Volker Halbach
Pure logic is the ruin of the spirit. Antoine de Saint-Exupéry
The Logic Manual
The Logic Manual
The Logic Manual
The Logic Manual
web page for the book: http://logicmanual.philosophy.ox.ac.uk/
Exercises Booklet More Exercises by Peter Fritz
The Logic Manual
The Logic Manual
web page for the book: http://logicmanual.philosophy.ox.ac.uk/
Exercises Booklet More Exercises by Peter Fritz slides of the lectures
The Logic Manual
The Logic Manual
web page for the book: http://logicmanual.philosophy.ox.ac.uk/
Exercises Booklet More Exercises by Peter Fritz slides of the lectures worked examples past examination papers with solutions
The Logic Manual
The Logic Manual
web page for the book: http://logicmanual.philosophy.ox.ac.uk/
Exercises Booklet More Exercises by Peter Fritz slides of the lectures worked examples past examination papers with solutions
Mark Sainsbury: Logical Forms: An Introduction to Philosophical Logic, Blackwell, second edition, óþþÕ
Why logic?
Logic is the scientific study of valid argument.
Why logic?
Logic is the scientific study of valid argument.
Philosophy is all about arguments and reasoning.
Why logic?
Logic is the scientific study of valid argument.
Philosophy is all about arguments and reasoning. Logic allows us to test validity rigorously. Modern philosophy assumes familiarity with logic.
Why logic?
Logic is the scientific study of valid argument.
Philosophy is all about arguments and reasoning. Logic allows us to test validity rigorously. Modern philosophy assumes familiarity with logic. Used in linguistics, mathematics, computer science,...
Why logic?
Logic is the scientific study of valid argument.
Philosophy is all about arguments and reasoning. Logic allows us to test validity rigorously. Modern philosophy assumes familiarity with logic. Used in linguistics, mathematics, computer science,... Helps us make fine-grained conceptual distinctions. Logic is compulsory.
Õ.¢ Arguments, Validity, and Contradiction
Arguments
Definition
Sentences that are true or false are called declarative sentences. In what follows I will focus exclusively on declarative sentences.
Õ.¢ Arguments, Validity, and Contradiction
Example
I’m not dreaming if I can see the computer in front of me. I can see the computer in front of me. Therefore I’m not dreaming.
Õ.¢ Arguments, Validity, and Contradiction
Example
I’m not dreaming if I can see the computer in front of me. I can see the computer in front of me. Therefore I’m not dreaming.
‘I’m not dreaming if I can see the computer in front of me’ is a premiss.