Search for tag: "predicates"

CL - 6a - Keeping it Simple

We begin by revisiting the idea of a universal model. If we have only n predicates then we can distinguish only 2n kinds of individual. So we only need to consider 2^{2n} universes. For example, for…

From  Haoran Peng on October 24th, 2020 0 likes 293 plays 0  

CL - Sequents

We introduce sequents, where we have finite sets of predicates on both sides of the turnstile.

From  Haoran Peng on October 20th, 2020 0 likes 319 plays 0  

CL - Review 1 - Contraposition

We show the intuition of contraposition using Venn diagrams.

From  Haoran Peng on October 20th, 2020 0 likes 325 plays 0  

CL - Q&A - Thursday Week 4

In week 4 we introduced Gentzen's sequents.You should make sure you understand when a sequent is valid, and what it means to provide a counter-example to a sequent -- a universe in which the…

From  Haoran Peng on October 20th, 2020 0 likes 321 plays 0  

CL - Lecture 4.k - Logic and Algebra

Last CL video for week 4.

From  Claudia-Elena Chirita on October 15th, 2020 0 likes 281 plays 0  

CL - Lecture 4d - Disjunction

In this video, we try to arrive at the disjunction rule.

From  Haoran Peng on October 11th, 2020 0 likes 447 plays 0  

CL - Lecture 4c - Conjunction

In this video, we try to arrive at the conjunction rule.

From  Haoran Peng on October 11th, 2020 0 likes 494 plays 0  

CL - Lecture 4b - Visualising Negation

What is the difference between 'a' and 'not a'? Here we visualize them on a globe instead of a plane.

From  Haoran Peng on October 11th, 2020 0 likes 428 plays 0  

CL - Lecture 3j - Aristotle's Syllogisms

We describe the traditional presentation of the syllogisms, and introduce Aristotle's existential assumption, on the basis of which he derives nine more syllogisms. These are not sound in our…

From  Haoran Peng on October 5th, 2020 0 likes 413 plays 0  

CL - Lecture 3e - Constructing a Counterexample

In the last video, we showed a rule is sound using Venn diagrams. In this video, we will again use Venn diagrams to construct counter-examples for unsound rules.

From  Haoran Peng on October 3rd, 2020 0 likes 469 plays 0  

CL - Lecture 2.d - Negation and Contraposition of Predicates

In this video on syllogisms, we introduce the logic of negation.

From  Claudia-Elena Chirita on September 26th, 2020 0 likes 443 plays 0  

CL - Lecture 2.b - Aristotelian Syllogisms. First Example

This is the third video on Syllogisms. We use Venn diagrams to show that barbara is sound.

From  Claudia-Elena Chirita on September 26th, 2020 0 likes 460 plays 0  

CL - Lecture 2.aa - Aristotelian Syllogisms. Venn diagrams

This is the second video on Syllogisms. We return to discuss the relationship between Euler and Venn diagrams, and introduce some notation.Having watched this video, you should be able to count how…

From  Claudia-Elena Chirita on September 26th, 2020 0 likes 475 plays 0  

CL - Lecture 2.a - Aristotelian Syllogisms. Euler diagrams

This is the first video on Syllogisms. We start by introducing barbara, the simplest classical syllogism, and the proposition, "all a are b", known as universal affirmation. We briefly …

From  Claudia-Elena Chirita on September 26th, 2020 0 likes 527 plays 0  

CL - 2019 Lecture 1

This is an old recording of Lecture 1, from 2019.

From  Claudia-Elena Chirita on September 12th, 2020 0 likes 124 plays 0