Deductive and Inductive Reasoning

Okay. Now we're dealing with proofs. The main idea behind a proof is that you are defending an argument through sound reasoning. Watch this video detailing the two types of reasoning we engage in when trying to evidence a proof. The video explains inductive and deductive reasoning. 

Your Task:

1) Give an example of deductive reasoning with at least 3 steps (different, obviously from the video's example).

Here's mine: 

a) All crows are black 

b) The bird on my fence is a crow

c) Therefore, the bird on my fence is black

2) Then give an errant example of deductive reasoning, where there is a false conclusion.

Here's mine:

a) All Toyota cars are relatively fuel efficient

b) My car is relatively fuel efficient

c) Therefore, I drive a Toyota

Clearly, my reasoning is incorrect; I could drive a different relatively fuel efficient vehicle.

Now you go. The grade on this post is simple:

10 total points. 8 for actually posting, and 2 for commenting on another student's post as to whether you agree with his or her examples being deductive reasoning, and the errant example being indeed errant.

Finding geometry

The construction of your house is dependent on geometric truths. The walls, baseboards, floorboards, carpet, windows, roof, all of it. Your task, due by Monday September 10th, is to identify a unique (in your mind) or interesting geometric feature about your house, interior or exterior, photograph it if possible, post the photo here, and describe in detail the geometry you see.
Here's my entry:

This is a photo of my home under construction. It seems the roof, unlike say a treehouse, has a 'pitch', measuring 60 degrees from the ground my feet are on in the photo, which of course is parallel to the ground. I've wondered in the past, "Why 60 degrees? Why not 80? I guess 20 would be too close to the ground in most spots." I also notice the studs (the 2X4s running vertically next to the window) are all parallel, and all perfectly perpendicular with the floor.


Your turn!