Logic A

Part One of Two

A brief, (but not under ten minutes, unfortunaletly) look at the basic elements of rational thinking.

Comprehensive review:

http://www.philosophypages.com/lg/index.htm

Occam's Razor (principle of unnecessary plurality)

http://www.physics.adelaide.edu.au/~dkoks/Faq/General/occam.html

Category:

Education

Tags:

• DynaCatlovesme
• Logic
• logical
• Occam's
• Razor
• proof
• inference
• propaganda

[gandersourcefilms]

i love logic...

all celestial bodies are made from green cheese.

the moon is a celestial body.

therefore: the moon is made from green cheese!

;-)

[DynaCatlovesme]

HA HA!

All balloons are full of hot air

Troy Riser is not a balloon

therefore Troy Riser is not full of hot air!

[nadiashireensiddiqi]

so this seeming absurdity can be corrected with the insertion of ifs and thens:

If universal axiom

if existential axiom

then conclusive deduction

[nadiashireensiddiqi]

the first universality can be disproved with one existence of an immortal man.

there is a ubiquitous example of A void set where the two assumptions are:

All men are shaved by the barber(who is a man)

no man shaves himself

so the conclusion cannot be derived since the barber is a man , so if one axiom is true the other is naturally false. This is a void set since no matter what the truth input, the conclusive deduction cannot be made.

[nadiashireensiddiqi]

if A(all celestial bodies are made of green cheese) then B( the moon is made of green cheese

if not A then maybe B or maybe not B.

The if statement is not satiated and thus the then may or may not be realized since A is sufficient but not necessary for B.

in conclusion when your axiom-s is-are wrong then there is no conclusion.

Aristotle's (Aristotelean) syllogism is:

all men are mortal

Aristotle is a man

therefore Aristotle is mortal.

[nadiashireensiddiqi]

hypothetical syllogism: A rule of inference.

But it is criticized for that reason exactly: axioms-premises-assumptions can be wrong sans defective logic.

logically: The axiom that all celestial bodies are made from green cheese can be easily refuted and thus you have a void set and your conclusion is never reached.

[gandersourcefilms]

ooo... this is very tempting, but i think i'll exercise discretion (for once). :)