December 18, 2006

New Unit: Logic

So today we started logic which is a system of reasoning or the way you present an argument.

Mr.K asked us if the sun is going to rise tomorrow and if i'm not mistaken almost everyone thinks that the sun is going to rise tomorrow based on the fact that the sun has been setting and rising every single day of our lives so far. That brings us to inductive reasoning and deductive reasoning

Inductive reasoning is when you come up with a hypothesis based on examples or observations to make a general rule more specific.

Deductive reasoning is when you use fundamental trues to create a rule. An example of deductive reasoning is Thales' theorem.

Something like this would be inductive:

Draw the next two.
With the next two it would look like this:


Something like this would be deductive:

Draw the next figures.
There really is no right answer for this question, you can look for a pattern but you must explain 3 things: the square, the curve, and the dot.


Here is a true or false questions:
1. The square of a number is larger than the number.
- this is false because the square of 1 is not larger than 1 (12 = 1)

A sentence like "This sentence is false." is what we call a paradox. It is true and false because it refers to two things at the same time and it is a self-reference.



valid means it flows natuarally from the premisis.
invalid means it does not flow naturally from the premisis.

All men are mortal
Mr.K is a man
Mr.K is mortal
^^ This is what we call a sound argument because it is both true and valid

A few examples of unsound arguments are:
All men are squibbles
Squibbles are pink
All men are pink
^^ This is unsound because it is valid but it is false.

All men are mortal
Mr.K is a man
Mr.K wears glasses
^^ This is unsound because it is all true but it is also invalid

All men are green
Mr.K is a man
Mr.K is green
^^ Something like this is also unsound because it is valid but most of it is false


SO THAT IS WHAT WE DID TODAY. HOMEWORK IS EXERCISE 45
&&
CONSUMER MATH - WAGES ASSIGNMENT **due on friday


NEXT SCRIBE IS LAURESSA

1 comment:

  1. Beautiful work crysta! I like the use of colour and the graphics are great.

    The examples in the diagrams are all examples of inductive reasoning. The example I had given of deductive reasoning was Thales proof that an inscribed angle subtended by a diameter is always 90°.

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