December 19, 2006

" L O G i C " - cont'd


To start off today's class, we were given a few reminders:


  • FLICKR.com RUBRIC: Reminder to students that this is for your benefit. Putting in your voice nto this document will affect how your flickr assignments are graded. This document should be about how you want your assignments to be marked, and how the assignments should be done. Get crackin'!


  • NEXT FLICKR ASSIGNMENT: The next flickr assignment will be to take a picture of TRIGONOMETRY. Be unique and creative and find a photo no one else will have. This won't be due until the first tuesday after winter break. We'll be given a great amont of time for this assignment, but don't procrastinate!

    Today, we added in some more notes into our math dictionary:




Here are a few examples of some arguments:



Example 1 and 2 both are true and valid statements. The reason being the premises of each example makes sense with what the conclusion says. The conclusion makes sense of what has been stated and flows naturally. This is called a sound argument.

SOUND ARGUMENT:
an argument that is both valid and true.


AN EXAMPLE OF A FALSE ARGUMENT:

"All men are mortal.
Mr. K is a man
... Mr. K wears glasses."

That was a false statement because, even if the three statements alone are true, together as an argument, it's not. The conclusion doesn't flow naturally with the premises, and it doesn't make sense.

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We also discussed different TYPES OF REASONING that we go over in this unit of Logic:




Induction: When we observe several particular examples that identify a pattern and conjecture that it must always be that case.

EXAMPLES:
QUESTION: Will the sun rise tomorrow?
ANSWER: It has every day before, so it will rise again tomorrow.
*That's the answer because through all the years we've been living, a reoccurring pattern of the sunrise has always taken place.

NOTE: To view more examples of inductive reasoning, look over all the investigations we worked on in our circle geometry unit!


Deduction: When we argue from basic, unarguable truths, to a valid conclusion.

An example of deductive reasoning is the process of proving THALES' THEOREM.





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In logic, we also look at relationships between different sets, and compare them in Venn Diagrams.
In the following images, we see how sets are made, and how we can compare two different sets using a venn diagram.







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Weeell ..




TOMORROW'S THE DAY! CIRCLE GEOMETRY UNIT TEST




I HOPE YOU GUYS ENJOYED MY SCRIBE..




blogger was being a pain in the behind and erased my




first draft and I had to start all over again!




BUT, I DID IT AGAIN. YET ANOTHER SCRIBE POST BY ME!



TOMORROW'S SCRIBE WILL BE ...



M@RK.



(just cuz he told me to pick him!)



NiGHT!!



2 comments:

  1. Darn I wanted to be scribe, but eh its okay :)

    ReplyDelete
  2. what a nice, festive post!

    ReplyDelete