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Make True Or False And Correct The Wrongs

Is anything completely true or false; right or wrong?

Firstly, in formal logic, either a proposition is true, or it is false, there is nothing in between.Thus, “completely true” is the same thing as true, and “not completely true” is the same thing as false.Anything contradictory is always false. (Law of non-contradiction)“Socrates is mortal and Socrates is not mortal” is always false.“All bachelors are married happily” is always false.Obviously Socrates cannot be both mortal and not mortal at the same time, and bachelors, by definition, are unmarried people.Any disjunctions between a proposition and its negation is always true. (Law of excluded middle)“Everything is either an apple or not an apple” is always true.“Either it is going to rain tomorrow, or it is not going to rain tomorrow.” is always true.Try to think of a thing thats neither an apple nor a non-apple. It is impossible to do so.It is contradictory to say that “Nothing is completely true” is true.If “Nothing is completely true” is true, then nothing is completely true.If nothing is completely true, then everything is false.If everything is false, then “Nothing is completely true” is false.Therefore, if “Nothing is completely true” is true, then, “Nothing is completely true” is false. (This is contradictory, and thus always false)I am not too sure about “right” or “wrong” however. I suppose you mean “right” as in morally right (moral) and “wrong” as in morally wrong (immoral). Whilst some people think that there are things that are absolutely wrong like killing and things that are absolutely right like saving lives, some people think that morality is subjective to each human culture. Thus, some cultures might find certain things moral, but other cultures may find those same things immoral. In this case, it might be argued that nothing is universally right or wrong.And again, there are people who think that morality doesn’t exist, and thus nothing is ever right or wrong.There is quite a variety of views on the matter of “right” and “wrong”, and no real consensus. On the contrary, it seems that everyone agrees with the law of excluded middle and the law of non-contradiction, and that everything is either true or false, and that there exists things that are true and things that are false. This are the most basic foundations of logic.

Please Correct me if i am Wrong?

Good job! They are all correct!

Probability of Answering True/False Questions?

I assume you mean, what is the probability that at least one of the ten answers is correct. If this is the case then:

Probability = 1 - Probability(All are wrong)

= 1 - (1/2)^10 = 1 - 1/1024 = 1023/1024

Dimensionally incorrect and correct?

It makes sense to say:
4 x (5 oranges) = 20 oranges

But it doesn't make sense to say:
4 x (5 oranges) = 20 apples

The first one is dimensionally correct - the same type of units are on the left and right.
The second one is dimensionally incorrect - there are different types of units on the left and right, which doesn't make sense.
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In physics 'dimension' has several meanings. Here, we mean the type of unit:
metres, feet, miles, etc have a dimension of length (L) as they are all used to measure distance (i.e. length)
seconds, minutes, months, etc. have a dimension of time (T)
kg, pounds, tonnes, etc., have a dimension of mass (M)
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For example, speed = distance/time
We say the dimensions of speed (written as [speed]) are L/T. So [speed] = L/T.
Acceleration is speed-change/time, so [acceleration] = (L/T)/T = L/T^2
Force is mass x acceleration (F=ma) so [F] = ML/T^2
etc.
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For an equation to be valid, the dimensions on the left side must match the dimensions on the right side (just like our oranges example.) It is then dimensionally correct.

However an equation can be dimensionally correct but still wrong.
For example if I say the area of a circle = 2 x radius^2:
- this is dimensionally correct (both sides have dimensions L^2)
- but it is wrong, as '2' should be 'pi'.

On the other hand, if an equation is dimensionally incorrect, it must be wrong.
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So if you understand all of this you will understand the answers:

A) Invalid - see example about area
B) Valid - like oranges and apples
C) Valid
D) Invalid
E) Valid

Two 'wrongs' don't make a 'right'?

wrong(rông, rng)adj. Not in conformity with fact or truth; incorrect or erroneous.
right adj. (rt)Conforming with or conformable to justice, law, or morality: do the right thing and confess.
In accordance with fact, reason, or truth; correct

Using these definitions then no. But 2 wrongs sure can make you feel better. And thats alright by me.

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