Ch. 2 Connecting Reasoning and Proof by Madi McFadden https://padlet.com/madimcfaden/9t2fwl2zuckn en-us 2016-12-13 01:58:20 UTC 2023-03-25 05:28:31 UTC hello@padlet.com Conditional, converse, inverse, contrapositive example: madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269296 2016-12-13 02:09:35 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269296 VOCAB: madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269530 2016-12-13 02:14:20 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269530 -Hypothesis and Conclusion madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269572 2016-12-13 02:14:56 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269572 -Converse, Inverse, Contrapositive madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269675 converse: if q then p
Inverse: if not p, then not q
Contrapositive: if not q, then not p

]]> 2016-12-13 02:17:17 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269675 -If then form madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269844 2016-12-13 02:20:31 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269844 -Conjectures madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269944 an opinion or conclusion formed on the basis of incomplete information.]]> 2016-12-13 02:22:30 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143269944 -Counterexamples madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270000 A counterexample is a special kind of example that disproves a statement or proposition. Counterexamples are often used in math to prove the boundaries of possible theorems]]> 2016-12-13 02:23:58 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270000 -All Properties madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270023 Subtraction Property
Addition Property
Multiplication Property
Division Property
Reflexive Property
Symmetric Property
Transitive Property 
Substitution Property]]> 2016-12-13 02:24:27 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270023 -Law of Syllogism madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270492 The law of syllogism takes two conditional statements and forms a conclusion by combining the hypothesis of one statement with the conclusion of another. Here is the general form: P → Q. Q → R.]]> 2016-12-13 02:32:28 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270492 -Law of Detachment madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270733 2016-12-13 02:36:39 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270733 EXAMPLES: madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270886 2016-12-13 02:39:30 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270886 Law of Syllogism Example: madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270981 2016-12-13 02:40:51 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143270981 Property Example: madimcfaden https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143271091 If x + 9 = 14y, then 14y = x + 9
------------> Symmetric Property ]]> 2016-12-13 02:42:30 UTC https://padlet.com/madimcfaden/9t2fwl2zuckn/wish/143271091