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First Steps in Formal Logic

As Tweedledee says, "If it was so, it might be; and if it were so, it would be: but as it isn't, it ain't. That's logic" (Lewis Carroll, 'Through the Looking Glass'). Like Tweedledee, we all like to think we reason logically, that is, in coherent and valid patterns. Indeed, according to a famous 17th-century textbook, logic is the 'art of thinking'. Logic is 'formal' insofar as it focuses on the structure (rather than the content) of arguments, and insofar as it employs symbols to lay it bare. The course is for those who would like to learn how to formalise or codify arguments, test them for validity, and hence explore the nature of good reasoning. No prior knowledge is required: being curious about the formal structure of reasoning, and being excited about the meaning and use of symbols such as the 'horseshoe', the 'turnstile', and the 'inverted A', is enough.

Date created:

2018-01-19 12:12
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Resources for this course

Displaying 1 - 17 of 17
Type Resource Description People Full details
Link Validity and Soundness

An article in the Internet Encyclopedia of Philosophy.

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Link Book: Formal Logic

A link to Peter Smith's website that accompanies his book 'Formal Logic': plenty of additional material.

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Link Book: Logic Manual

A link to Volker Halbach's website that accompanies his book 'The Logic Manual', additional material for download.

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Link Book: Logic Primer

A link to Paul Teller's website, where he offers for download his two-volume introduction to formal logic, which is out of print.

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Link Translation Tips

A link to Peter Suber's translation tips for PL, QL, and QL=.

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Document Worksheet: Grammar and Translations (Solutions)

The solutions for the worksheet we used in the second session.

Peter Wyss view
Document Worksheet: Main Connectives (Solutions)

The solutions for the worksheet we used in the third session.

Peter Wyss view
Document Additional Note: 'Unless' and Precedence

A further explanation of how to formalise 'unless', and comments about precendence and the importance of brackets.

Peter Wyss view
Document Additional Note: 'If, then': The Material Conditional

An attempt further to clarify the problematic link between natural language conditionals and the material implication.

Peter Wyss view
Document Worksheet: Truth Tables (Solutions)

The solutions to the worksheet we used in the fourth meeting.

Peter Wyss view
Document Worksheet: Trees (Solutions)

Solutions for the worksheet we used (in part) during the fifth meeting.

Peter Wyss view
Document Worksheet: Practising Trees and Natural Deduction (Solutions)

Extended solutions for the worksheet we used in our sixth meeting.

Peter Wyss view
Document Additional Note: Clarifying the Rules for Trees

Further explanation of the puzzle we noted in the sixth class.

Peter Wyss view
Document Worksheet: QL: Grammar and Translations (Solutions)

The solutions for the worksheet we used in the eighth session.

Peter Wyss view
Document Additional Note: Destructive Dilemma

A direct comparison of the tree method and natural deduction. For thinking it through.

Peter Wyss view
Document Worksheet: Practice QL and QL= (Solutions)

Suggested Solutions for the worksheet we used in the ninth meeting.

Peter Wyss view
Document Additional Note: Testing Validity: QL and Natural Deduction

A four-page sheet that tries to explain the ND-rules for the quantifiers as transparently as possible.

Peter Wyss view