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what is a junction and disconjunction? i forgot and cant find my notes on it lol.
ReplyDeleteSteven H. 1st hour.
Conjuction: A statement using And
ReplyDeleteDisjunction: A statement using Or
For example the Conjunction of "It's raining" and "It's sunny" is the statment "It's raining and it's sunny." Remember that a conjuction is true only when both statements are true, a Disjunction is false only when both are false.
ok thanks this will help me (:
ReplyDeleteHow is the Transitive Property of Equality different from the Law of Syllogism?
ReplyDelete~Valeriya(:
Sorry, it was family movie night, followed by Project Runway.... ~my bad~.
ReplyDeleteOkay, the difference between Transitive Property of Equality (and it's cousin the Trans. Prop of Congruence) and the Law of Syllogism has to do what they're relating.
The Law of Syllogism is creating a logical chain of ideas and saying that it is valid to link conditional statments together. P leads Q leads to R leads to S leads to T, so let's just cut to the chase and say that P leads to T and be done. It is the foundation of what we do in a proof: We start at some "Given" and we argue towards the end, with the real final conclusion being "Our Given will lead to our To Prove."
Transivity, on the other hand, relates strictly to values all being the same thing. A is B, B is C, so what the heck, A is C.
In the end the two concepts are confusing ~because~ they are similar, almost to the point of interchangability. You can call Syllogism "transitive for logic". Here's the thing:
You will never use the Law of Detachment, or the Law of Sylogism in a proof.
Ever.
Don't do it.
You think there are consequences for a teacher not assigning homework? Wait till you try to use the Law of Sylogism in a proof. ;)