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If there’s knowledge, then either some things are known without proof or we can prove every premise by previous arguments infinitely.
We can't prove every premise by previous arguments infinitely.
There's knowledge.
So ???
{ 1 } - Some things are known without proof.
{ 2 } - Everything that's known is provable.
{ 3 } - There's no knowledge.
{ 4 } - None of these validly follows.
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1 is correct!
If there’s knowledge, then either some things are known without proof or we can prove every premise by previous arguments infinitely.
We can't prove every premise by previous arguments infinitely.
There's knowledge.
So ???
{ 1 } - Some things are known without proof.
{ 2 } - Everything that's known is provable.
{ 3 } - There's no knowledge.
{ 4 } - None of these validly follows.
Aristotle (the first logician) used this to argue that every argument ultimately rests on unproven premises.
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Before continuing, you might try some wrong answers.
2 is wrong. Please try again.
If there’s knowledge, then either some things are known without proof or we can prove every premise by previous arguments infinitely.
We can't prove every premise by previous arguments infinitely.
There's knowledge.
So ???
{ 1 } - Some things are known without proof.
{ 2 } - Everything that's known is provable.
{ 3 } - There's no knowledge.
{ 4 } - None of these validly follows.
The premises prove the opposite of this!
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3 is wrong. Please try again.
If there’s knowledge, then either some things are known without proof or we can prove every premise by previous arguments infinitely.
We can't prove every premise by previous arguments infinitely.
There's knowledge.
So ???
{ 1 } - Some things are known without proof.
{ 2 } - Everything that's known is provable.
{ 3 } - There's no knowledge.
{ 4 } - None of these validly follows.
Huh? The third premise says that there's knowledge!
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4 is wrong. Please try again.
If there’s knowledge, then either some things are known without proof or we can prove every premise by previous arguments infinitely.
We can't prove every premise by previous arguments infinitely.
There's knowledge.
So ???
{ 1 } - Some things are known without proof.
{ 2 } - Everything that's known is provable.
{ 3 } - There's no knowledge.
{ 4 } - None of these validly follows.
No, we can draw one of the conclusions.
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the end