"The first programmable computer was built in Cambridge." "Dogs cannot see colour."Propositions may be either asserted (said to be true) or denied (said to be false). Note that this is a technical meaning of "deny", not the everyday meaning. The proposition is the meaning of the statement, not the particular arrangement of words used. So "A God exists" and "There exists a God" both express the same proposition.?
"Berlin is the capital of Germany."
Sunday, October 30, 2011
Logical Arguments
"The building blocks of a logical argument are propositions, also called statements. A proposition is a statement which is either true or false; for example:
Sunday, October 23, 2011
Logic arguments
I came across this article and found it as a very interesting way to look at logic.
"If I believe that whales are mammals and that all mammals are fish, then it would also make sense for me to believe that whales are fish. Even someone who (rightly!) disagreed with my understanding of biological taxonomy could appreciate the consistent, reasonable way in which I used my mistaken beliefs as the foundation upon which to establish a new one. On the other hand, if I decide to believe that Hamlet was Danish because I believe that Hamlet was a character in a play by Shaw and that some Danes are Shavian characters, then even someone who shares my belief in the result could point out that I haven't actually provided good reasons for accepting its truth."
"If I believe that whales are mammals and that all mammals are fish, then it would also make sense for me to believe that whales are fish. Even someone who (rightly!) disagreed with my understanding of biological taxonomy could appreciate the consistent, reasonable way in which I used my mistaken beliefs as the foundation upon which to establish a new one. On the other hand, if I decide to believe that Hamlet was Danish because I believe that Hamlet was a character in a play by Shaw and that some Danes are Shavian characters, then even someone who shares my belief in the result could point out that I haven't actually provided good reasons for accepting its truth."
Sunday, October 16, 2011
Inductive, Deductive
When we first started with inductive and deductive it was a little fuzzy to me so I tried to find ways on how to understand them better and i came across this,
Many people distinguish between two basic kinds of argument: inductive and deductive. Induction is usually described as moving from the specific to the general, while deduction begins with the general and ends with the specific; arguments based on experience or observation are best expressed inductively, while arguments based on laws, rules, or other widely accepted principles are best expressed deductively. Consider the following example:
Adham is using inductive reasoning, arguing from observation, while Rizik is using deductive reasoning, arguing from the law of gravity. Rizik's argument is clearly from the general (the law of gravity) to the specific (this kick); Adham's argument may be less obviously from the specific (each individual instance in which he has observed balls being kicked up and coming back down) to the general (the prediction that a similar event will result in a similar outcome in the future) because he has stated it in terms only of the next similar event--the next time he kicks the ball.
Now i feel much more confident on my judgment to decide which one is which.
Many people distinguish between two basic kinds of argument: inductive and deductive. Induction is usually described as moving from the specific to the general, while deduction begins with the general and ends with the specific; arguments based on experience or observation are best expressed inductively, while arguments based on laws, rules, or other widely accepted principles are best expressed deductively. Consider the following example:
| Adham: I've noticed previously that every time I kick a ball up, it comes back down, so I guess this next time when I kick it up, it will come back down, too. Rizik: That's Newton's Law. Everything that goes up must come down. And so, if you kick the ball up, it must come down. |
Now i feel much more confident on my judgment to decide which one is which.
Sunday, October 2, 2011
So much to Logic
Taking this Logic course has opened my eyes up to how much is really involved within this subject. When you hear someone make a statement, you just hear the statement and think that's it. When really there is many other things to think about such as if it's an argument or non-argument, inductive or deductive, valid, strong, weak, cogent etc. It goes on forever, before these couple weeks of classes I would of never put so much thought into a single statement.
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