How to use “some” and “not all” in logic?

“Not all”, ~(x) , is right-open, left-closed interval – the number of animals is in [0, x) or 0 ≤ n < x . “Some” means at least one (can’t be 0), “not all” can be 0. “No”, ~(∃x) , allows only number 0.

Can some mean all in logic?

This is bordering on logic rather than language, but the answer is definitely no: Some is “an indeterminate amount”, which means it can be all.

Is some and all the same?

But “some” means “a part but not all” so it would be false.

Can some be all?

But, logically speaking, “some” can include “all,” so in the LSAT world, it may be that all of your friends are coming over. The nice thing about “some” is that the definition is clear: always at least one, but maybe all. Other terms, such as “few,” “several,” and “many,” are more relative.

Does some imply some are not?

So, while a statement of the form “Some S are P” does not logically imply “Some S are not P”, the fact that someone makes the former statement conversationally implicates the latter.

Is not all the same as some?

For the purposes of LSAT, “some” can be defined as “at least 1.” And saying “not all” is the same as “at least 1 is not.” The opposite of these equivalent statements is “All lawyers are ethical.” Another important thing to note is that because “some” just means “at least one,” it INCLUDES “all”.

What is the logical meaning of some?

The modern translation of ‘Some X are…’ is ‘There exists an (meaning at least one) X such that…‘ So, in modern parlance, you are saying: There exists a vegetarian dog.

How do you use not all?

used as a polite reply after someone has thanked you: “Thanks for helping.” “Not at all.” used to say “no” or “not” strongly: “I hope it wasn’t too much hassle for you.” “No, not at all.”

What does the word some imply?

1 : one indeterminate quantity, portion, or number as distinguished from the rest. 2 : an indefinite additional amount ran a mile and then some. some.

Is it not all are or all are?

all are not” is an absolute statement that can be re-written as “there are none that are”. “not all are” is a can be rewritten as “there are some that are not”.

Why all is and not all are?

Not all are bad.

The negation applies to the word “all”, because some are bad and some are not, and that is shown by putting the word “not” right in front of it. The form “All are not bad.” is ambiguous. It could mean that the phrase “not bad” is true of all the students, which is not what is meant.

Which is correct All are or all is?

If a writer means “all of it,” she should use “is.” If she means “all of them,” she should go with “are.” So it depends on whether your contributor was thinking of the whole dish or the various things in it: “All [the soup] is returned to a simmer” or “All [the ingredients] are returned to a simmer.”