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Lecture 1.1 - Introduction (with subtitles) duration 35 minutes 5 seconds Lecture 1.1 - Introduction (with subtitles) Lecture 1.1 - Introduction (with subtitles)	Lecture 1.1 - Introduction (with subtitles) From Lindsay White 17 plays 0
Lecture 1.2 - Statements (with subtitles) duration 15 minutes 27 seconds Lecture 1.2 - Statements (with subtitles) Lecture 1.2 - Statements (with subtitles)	Lecture 1.2 - Statements (with subtitles) From Lindsay White 5 plays 0
Lecture 1.3 - Truth Tables (AND, OR, NOT) (with… duration 26 minutes 41 seconds Lecture 1.3 - Truth Tables (AND, OR, NOT) (with… Lecture 1.3 - Truth Tables (AND, OR, NOT) (with subtitles)	Lecture 1.3 - Truth Tables (AND, OR, NOT) (with subtitles) truth statement math values statements cs q. table p. columns tables negation symbols rest column thing combination notation problems practice From Lindsay White 6 plays 0
Lecture 1.4 - Truth Tables (Implies, IFF) (with… duration 30 minutes 52 seconds Lecture 1.4 - Truth Tables (Implies, IFF) (with… Lecture 1.4 - Truth Tables (Implies, IFF) (with subtitles)	Lecture 1.4 - Truth Tables (Implies, IFF) (with subtitles) statement implication billionaire converse truth q. sky p. contrapositive humans definition pulse table billionaires cases statements integer column row columns From Lindsay White 6 plays 0
Lecture 1.6 - Set Operations (with subtitles) duration 18 minutes 43 seconds Lecture 1.6 - Set Operations (with subtitles) Lecture 1.6 - Set Operations (with subtitles)	Lecture 1.6 - Set Operations (with subtitles) b. union sets intersection elements a. notation subset cross intersect complement element properties circle pairs disjoint x. problems practice proof From Lindsay White 4 plays 0
Lecture 1.7 - Quantifiers (with subtitles) duration 24 minutes 49 seconds Lecture 1.7 - Quantifiers (with subtitles) Lecture 1.7 - Quantifiers (with subtitles)	Lecture 1.7 - Quantifiers (with subtitles) x. statement integer range notation b. condition proof statements form sentence words ways variable examples integers negation hat word fact From Lindsay White 5 plays 0
Lecture 2.1 - Introduction (with subtitles) duration 23 minutes 24 seconds Lecture 2.1 - Introduction (with subtitles) Lecture 2.1 - Introduction (with subtitles)	Lecture 2.1 - Introduction (with subtitles) proof integers times observation statement stage theorems cases form definition definitions examples thing theorem textbook words variables q. techniques steps From Lindsay White 12 plays 0
Lecture 2.4 - Proof By Contrapositive (with… duration 20 minutes 54 seconds Lecture 2.4 - Proof By Contrapositive (with… Lecture 2.4 - Proof By Contrapositive (with subtitles)	Lecture 2.4 - Proof By Contrapositive (with subtitles) contrapositive statement proof p. polynomial alexander form direction method moves sequence reason delta contradiction argument process q. statements strategy possibilities From Lindsay White 6 plays 0
Lecture 2.6 - Proof By Counterexample (with… duration 13 minutes 10 seconds Lecture 2.6 - Proof By Counterexample (with… Lecture 2.6 - Proof By Counterexample (with subtitles)	Lecture 2.6 - Proof By Counterexample (with subtitles) statement squares integers examples x. sum counterexample technique form times proof combinations numbers odds combination thing statements things problems practice From Lindsay White 4 plays 0
Lecture 2.7 - Common Mistakes (with subtitles) duration 21 minutes 18 seconds Lecture 2.7 - Common Mistakes (with subtitles) Lecture 2.7 - Common Mistakes (with subtitles)	Lecture 2.7 - Common Mistakes (with subtitles) statement proof mistake directions direction converse containment contrapositive examples form x. sets step definition assumptions equality attempt assumption theorem q. From Lindsay White 3 plays 0
Lecture 3.1 - Relations on One Set (with… duration 19 minutes 0 seconds Lecture 3.1 - Relations on One Set (with… Lecture 3.1 - Relations on One Set (with subtitles)	Lecture 3.1 - Relations on One Set (with subtitles) relation remainder integers john b. matrix pairs notation child a. sense rock bob relationship person elements arrow metal parent interests From Lindsay White 8 plays 0
Lecture 3.2 - Equivalence Relations (with… duration 22 minutes 9 seconds Lecture 3.2 - Equivalence Relations (with… Lecture 3.2 - Equivalence Relations (with subtitles)	Lecture 3.2 - Equivalence Relations (with subtitles) remainder a. relation parent genre john property b. ancestor definition relations properties mod symmetry examples equivalence c. bob transitivity pair From Lindsay White 11 plays 0
Lecture 3.3 - Partitions (with subtitles) duration 24 minutes 52 seconds Lecture 3.3 - Partitions (with subtitles) Lecture 3.3 - Partitions (with subtitles)	Lecture 3.3 - Partitions (with subtitles) equivalence class sets classes relation remainder elements partition disjoint a. john bob element union b. property sally transitivity collection integers From Lindsay White 9 plays 0
Lecture 3.4 - POSETS (with subtitles) duration 13 minutes 37 seconds Lecture 3.4 - POSETS (with subtitles) Lecture 3.4 - POSETS (with subtitles)	Lecture 3.4 - POSETS (with subtitles) subset property b. relation a. containment relations subsets sets equals equivalence ordering transitivity symmetric symmetry c. integers properties path arrow From Lindsay White 5 plays 0
Lecture 3.5 - Relations Between Two Sets (with… duration 12 minutes 34 seconds Lecture 3.5 - Relations Between Two Sets (with… Lecture 3.5 - Relations Between Two Sets (with subtitles)	Lecture 3.5 - Relations Between Two Sets (with subtitles) relation pair b. range domain sets math bob sense science a. elements john notation student pairs bit subjects students dance From Lindsay White 4 plays 0
Lecture 3.6 - Functions (1-1, Onto) (with… duration 20 minutes 14 seconds Lecture 3.6 - Functions (1-1, Onto) (with… Lecture 3.6 - Functions (1-1, Onto) (with subtitles)	Lecture 3.6 - Functions (1-1, Onto) (with subtitles) function b. element elements maps relation bijection condition b2 things mapping b3 a2 b1 notation thing definition ejection a3 properties From Lindsay White 8 plays 0
Lecture 3.7 - Functions (Inverse, Composition)… duration 18 minutes 18 seconds Lecture 3.7 - Functions (Inverse, Composition)… Lecture 3.7 - Functions (Inverse, Composition) (with subtitles)	Lecture 3.7 - Functions (Inverse, Composition) (with subtitles) function inverse relation range maps elements a. b. pairs definition functions g. minus problem integers composition picture element mapping reason From Lindsay White 3 plays 0
Lecture 4.1 - Recursive Sequences (with subtitles) duration 20 minutes 30 seconds Lecture 4.1 - Recursive Sequences (with subtitles) Lecture 4.1 - Recursive Sequences (with subtitles)	Lecture 4.1 - Recursive Sequences (with subtitles) sequence term sequences function times elements minus cases notation numbers a1 n. arithmetic induction things thing practice recursion factorial difference From Lindsay White 6 plays 0
Lecture 4.2 - Induction and the Well-Ordering… duration 24 minutes 18 seconds Lecture 4.2 - Induction and the Well-Ordering… Lecture 4.2 - Induction and the Well-Ordering Principle (with subtitles)	Lecture 4.2 - Induction and the Well-Ordering Principle (with subtitles) numbers induction property s. element integers sequence n. subset formula proof term idea dot pattern cases contrapositive infinity couple contradiction From Lindsay White 6 plays 0
Lecture 4.3 - Weak Induction (with subtitles) duration 19 minutes 33 seconds Lecture 4.3 - Weak Induction (with subtitles) Lecture 4.3 - Weak Induction (with subtitles)	Lecture 4.3 - Weak Induction (with subtitles) induction formula n. statement minus side step proof form element hand pattern theorem s. process hypothesis rfk steps numbers guess From Lindsay White 5 plays 0
Lecture 4.4 - Induction Example 1 (with subtitles) duration 15 minutes 12 seconds Lecture 4.4 - Induction Example 1 (with subtitles) Lecture 4.4 - Induction Example 1 (with subtitles)	Lecture 4.4 - Induction Example 1 (with subtitles) hypothesis side rfk proof hand k. formula induction step minus times dot base multiple process r1 n. variables statement sum From Lindsay White 4 plays 0
Lecture 4.5 - Induction Example 2 (with subtitles) duration 22 minutes 34 seconds Lecture 4.5 - Induction Example 2 (with subtitles) Lecture 4.5 - Induction Example 2 (with subtitles)	Lecture 4.5 - Induction Example 2 (with subtitles) element subsets subset induction sets power statement hypothesis union a1 recursion ak base a. elements idea size proof times n. From Lindsay White 3 plays 0
Lecture 4.6 - Strong Induction (with subtitles) duration 17 minutes 11 seconds Lecture 4.6 - Strong Induction (with subtitles) Lecture 4.6 - Strong Induction (with subtitles)	Lecture 4.6 - Strong Induction (with subtitles) induction primes hypothesis k. cases times base numbers proof step thing prime recursion n. statement principle problems range notice factorization From Lindsay White 3 plays 0
Lecture 5.2 - Division Algorithm (with subtitles) duration 19 minutes 53 seconds Lecture 5.2 - Division Algorithm (with subtitles) Lecture 5.2 - Division Algorithm (with subtitles)	Lecture 5.2 - Division Algorithm (with subtitles) remainder times b. multiple mod division minus algorithm integer divisibility integers r. range form remainders numbers a. examples multiples definition From Lindsay White 5 plays 0