blogging?

hello, there (:
this is my first blog, EVER, so yeah please excuse my newb-ness.

so! today we learned about Deductive Reasoning/Logic
Deductive logic consists of syllogisms, modus ponens, and modus tollens.
in this blog, i will differentiate between each of those forms of deductive logic:

1) syllogisms
syllogisms were created in 300 BCE by Aristotle and consists of 3 statements with 2 terms in each. those three statements are labeled as the major premise, the minor premise, and the conclusion. when creating a syllogism, one must only have 2 terms in each statement in order for it to be valid. syllogisms must always be valid, however, they will not always be true. the reason for a syllogism is to start with a given vague statement and end with a specific conclusion. syllogisms can be seen everywhere, most commonly in Geometry or Algebra. for example: A=B, B=C, therefore A=C. this is merely seen as the transitive property in Geometric proofs. A=B is the first statement where A & B are the two terms. in the second statement, B=C, B&C are the two terms. and finally in the conclusion, A=C, A&C are the two terms. therefore, this syllogism is valid and also true. also like a geometric proof, the given statement is very broad like a theorem and whatnot, and the conclusion is very specific like a postulate and whatnot.

this brings us to the next type of deductive reasoning:

2) modus ponens
modus ponens are referred to as positive statements which do not include: didnt, not, etc etc. for example: if P, then Q ... P then Q. that was a bit confusing so let's break it dowwwn. make P an action and Q the consequence. so for example: if i go jogging (P), then i'll be sore (Q) ... i DID go jogging (P), so now i'm sore (Q). it's sort of like your conscious telling you that if you do something(P) then something will happen as a result (Q) ... and then you dont believe your annoying conscious and you do that something (P) and TAADA! your conscious was right and something happened as a result (Q). confusing? i think not!

finally, the last type of deductive reasoning:

3) modus tollens
modus tollens are reffered to as negative statements which include: didnt, not, etc etc. for example: if P, then Q ... not P then not Q. let's break this one down as well. once again, make P an action and Q the consequence. using the same example as above: if i go jogging (P), then i'll be sore (Q) ... i DID NOT go jogging (not P), so now i'm NOT sore (not Q). again with the conscious example: your conscious tell you that if you do something (P) then something will happen as a result (Q) ... and then you listen to your conscious and DONT do that something (not P) and now you DONT get that result (not Q). this wasnt confusing at all!


so, if the differences were not that clear for you, here you go:
syllogisms are completely different from both the modus ponens and the modus tollens because it consists of three statements (major, minor, conclusion) while the modus ponens/tollens only contain two statements. now the modus ponens is a positive pair of statements where if you do P then Q will be the result...so you DID P and Q was the result. the modus tollens is a negative pair of satements where if you do P then Q will be the result...so you DONT DO P and Q WILL NOT be the result.

congrats! you just learned from the masterrrrr
heh heh heh...i think (;