Search for tag: "rule"

CL - Implication

We derive the implication rule using the rules introduced last week.

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

CL - Review 1 - Contraposition

We show the intuition of contraposition using Venn diagrams.

From  Haoran Peng on October 20th, 2020 0 likes 23 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 20 plays 0  

CL - Lecture 4.i - Reduction 1

We use the rules to reduce a sequent to a conjunction of simpler sequents. In this example we find that the expression asserted by the sequent is a tautology — it is equivalent to the empty…

From  Claudia-Elena Chirita on October 15th, 2020 0 likes 302 plays 0  

CL - Lecture 4.j - Reduction 2

We use the rules to reduce a sequent to a conjunction of simple sequents, sequents that only mentions propositional letters, with no connectives, and no repetitions — in this example, we find…

From  Claudia-Elena Chirita on October 15th, 2020 0 likes 261 plays 0  

CL - Lecture 4.h - Sequents 3

We can now give Gentzen's rules for ¬ ⋀ ⋁.

From  Claudia-Elena Chirita on October 15th, 2020 0 likes 279 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 399 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 438 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 406 plays 0  

CL - Lecture 3g - Making more rules with contrapositions

Using meta-/object-level contrapositions, we can derive all 15 sound syllogisms from Barbara.

From  Haoran Peng on October 3rd, 2020 0 likes 427 plays 0  

CL - Lecture 3f - Presenting your justifications and counterexamples

In this video, we label each region in the Venn diagram with a number from 0 to 7. We can then present our justifications and counter-examples by referring to those 8 regions.

From  Haoran Peng on October 3rd, 2020 0 likes 447 plays 0  

CL - 2019 Lecture 2

This is an old recording of Lecture 2, from 2019.

From  Claudia-Elena Chirita on September 26th, 2020 0 likes 177 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 437 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 455 plays 0  

PSR 1 Lecture 5 Part 2

Part 2 Fine Tuning Lecture: The Fine Tuning Argument

From  Johanna Wolff on September 7th, 2020 0 likes 51 plays 0  

Topic 14: Axiomatic Definition of Probability (PETARS, Chapter 3)

The Kolmogorov axioms are the foundations of probability theory introduced by Andrey Kolmogorov in 1933. Using these axioms, this video shows how many other familiar results can be derived from these…

From  James Hopgood on September 5th, 2020 0 likes 78 plays 0