124ms: Logic and Sets
Propositional Calculus Notation
R Low
Department of Mathematics and Physics
Coventry University
Lecture 1
R Low (Cov Uni)
Prop Calc
Lecture 1
1 / 24
Introduction
Topics
In this course, we will look at various aspects of discrete math
124ms: Logic and Sets
Formal Proof
R Low
Department of Mathematics and Physics
Coventry University
Lecture 3
R Low (Cov Uni)
Formal Proof
Lecture 3
1 / 23
Review and Preview
We have developed a language for expressing and analysing
propositions, which ena
124ms: Logic and Sets
Truth Tables
R Low
Department of Mathematics and Physics
Coventry University
Lecture 2
R Low (Cov Uni)
Truth Tables
Lecture 2
1 / 19
Review and Preview
So far, we have some idea of:-
R Low (Cov Uni)
Truth Tables
Lecture 2
2 / 19
Revi
124ms: Logic and Sets
Formal ProofFurther Methods
R Low
Department of Mathematics and Physics
Coventry University
Lecture 4
R Low (Cov Uni)
Formal Proof 2
Lecture 4
1 / 17
Review and Preview
We looked at a formal approach to proof which provides an altern
124ms
Logic and Sets
Tutorial Sheet 1: Propositional calculus
Topics covered: propositional calculus.
1. We consider the problem of controlling a nuclear reactor. Given the atomic sentences The operator presses the alarm, The reactor is in danger of melti
124ms: Logic and Sets
Formal Proof
R Low
Lecture 3
1 Review and Preview
We have developed a language for expressing and analysing propositions,
which enables us to
encode complicated information efficiently
analyse the information (using truth tables)
124ms
Logic and Sets
Tutorial Sheet 2: Sets, predicates, and functions
Topics covered: sets, predicates, quantifiers, functions and relations.
1. If X = cfw_ a, b, c, then
(a) Which of (i) a X, (ii) a X, (iii) cfw_ a X, (iv) cfw_ a X is true?
(b) List all
124ms
Logic and Sets
Tutorial Sheet 3: Matrices, Graphs and Networks
Topics covered: relations and matrices, graphs, spanning trees, adjacency matrix, connectedness, Dijkstras algorithm, edge connectivity, applications of trees.
1. We have sets A = cfw_ a
124ms: Logic and Sets
Formal ProofFurther Methods
R Low
Lecture 4
1 Review and Preview
We looked at a formal approach to proof which provides an alternative approach to establishing the validity of an argument or the inconsistency of set
of statements.
Ho
124ms: Logic and Sets
Truth Tables
R Low
Lecture 2
1 Review and Preview
So far, we have some idea of:1. what a proposition is,
2. how to find the truth value of a compound proposition given the truth
values of its constituents,
3. how to use the language
CTU551
ACIS, UiTM
Maruwiah Ahmat
CTU 551 TAMADUN ISLAM DAN TAMADUN ASIA
1
PENGENALAN
HASIL PEMBELAJARAN
Mampu menghuraikan
sumbangan Tamadun India
kepada peradaban dunia.
Mampu mengenal pasti aspek
Tamadun India dalam
tamadun Melayu.
Mengenal pasti asp
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