We can spot illogical thinking in ourselves and others by examining how the argument is made.
It’s what Faust is showing is Logic 101: viewtopic.php?f=1&t=171862
However, I do think there is even more essential and also easier way to detect illogical and potentially bogus thinking in us.
It’s to check if the statement/proposition/evaluation has any condition or not.
A statement like “All men are mortal” does not have any explicit condition, and I think it’s a sign of illogical thinking UNLESS implicit/implied conditions are made clear elsewhere or deemed to be clear for all intended audiences.
I think that any evaluation depends on the definition/identification of what is evaluated and the method of how to evaluate. In other words, any statement is conditional to the definition/identification of the subject matter and the methodology and agreement on these.
Even a simple statement like “All men are mortal” is implying/presuming a lot about what we should/might agree as the conditions and it leaves rooms for confusions (and debates).
For example, what is the subject matter, here?
Does “All men” means all human beings of past, present, and future?
Then, there would be questions like can we really know about all men of past, present, and future?
I mean, knowing the mortality of a single person can be a huge task, especially if we follow a modified version of the crude method loved by Faust (Dropping a CRT display on the head to see if the person dies, proving the mortality). It takes time (probably jail time, too), muscle, and precious old antique CRT, a rare item these days.
Also, can we safely assume that all men of the past is really all dead? A LOT of people fanatically believe that some men don’t die but revive and talk/walk after the death.
Is this temporary death counts as the mortality?
Can we drop CRT to these men to see if they are still mortal?
And how about all men of the future? Would there be enough CRT for them all?
How can we conduct the CRT test on them to declare the statement at present moment without a time-machine?
And to prove it for all men, we need to drop CRT on our head, too…but there would be no one to note and certify it. Do we need to train dogs or cats to be intelligent enough to declare it for us?
So, seemingly simple statement can be pretty tough to verify UNLESS we assume and presume whole a lot and making it unreliable, not really sure at all.
Let’s take the example of “2+40=42”.
There are implied conditions in this one, too.
Usually, with the mathematical formula, it implies that we are agreeing to think within the mathematical system.
So, it’s more like “2+40=42 (IF we think and evaluate within so and so mathematical system)”.
In the case of “1+1” it can be evaluated as “2 (decimal, for example)”, or “10 (binary)”.
I guess we are trained to presume so much all the time about too many things that we tend to forget about conditions that should be there with any evaluation. And this makes our thought inaccurate and often vague, confusing us and creating some of paradoxes, as well.
Some people don’t even understand that there are implied conditions associated with evaluations. They often believe that simply declaring assertions makes it logical, true, fact, whatever…
Now, seeing from another angle, making unconditional statement might be a sign of overconfidence, “a leap of faith”, metaphysics, and so on because it is overboosting the certainty level of something vague and uncertain, and also because it is to present something conditional as unconditional (as if it’s absolutely, universally true for everyone, everywhere, and forever).
So, IF we want to think clearly, we can check to see if there is any condition associated with the evaluation we are making/verifying. If it’s not explicit, we can ask (to ourselves or to others) to clarify what is implied.