Tag Archive for 'logic'

For Want of a Metaphor

I’m trying to come about with a metaphor that will help me express the absurdity of logic. Logic as we all know is a system of rules, inductive and deductive that were created by us people that we use to apply to the world, reality in order to ascertain truth.

We don’t mind the fact the logic was created by us and not reality because we tend to forget that fact and think that it in fact exists independently of us out in the world. It just seems to be a happy coincidence that what qualifies as a rule of logic is that which seems to make sense to the human brain and what is disqualified is that which seems absurd.

I mean if you have a cause you must then have an effect, and X cannot be both P and not P right!!! That just doesn’t make sense!!!

In fact (I’m using the term figuratively) logic appears to be more a corollary of language than anything else. Language rules which are of course governed by the particular arrangements of our brains.

So what is a metaphor (or a simile, or even an analogy) that expresses the absurdity of inventing a system of rules and then finding absolute truth by testing everything against these rules and forgetting the fact that you invented them in the first place?

More on this as it develops…

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If logic is not immutable…

A reply written by me made about my hypothesis that the laws of human logic are not fixed, universal and ‘immutable.’

If logic is not immutable, how can we know that logic is wrong?

We won’t know what’s wrong. At least not with any certainty. That is the point of the brain in the vat problem. You don’t come to a belief about either proposition with any certainty, you are left with uncertainty, something propositional logic has a real problem with.

Does this mean you jump off a bridge or dismiss tautologies because they are not certain? No, just as scientific knowledge is uncertain but still functional so too can all areas of human thought be seen as a cloud of light amongst the darkness of possibility.

If logic is not a universal truth and law unto itself, the walls of cognition do not come crashing down. We can admit that the axioms of mathematics may be expressions of human cognition that are vastly different from possible alien constructions which we cannot comprehend, but within the system we have constructed they are fundamental. Exploring the nature of that relationship is far more intriguing than postulating our discovery of the mysterious transcendent mechanics of the whole universe.

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I don’t like red guitars

This is an objection to Richard’s argument as to why the ammoralist is compelled by reason to be moral, Why be moral? over at Philosophy, Et cetera.

What would be incoherent is to fail to desire a food you admit you would enjoy eating just as much, unless some further reason can be given for the differential treatment.

I think there are cases where arbitrariness is not equivalent to irrationality. I talk about this in my essay.

However I absolutely agree with you in that there is a definite place for reason in assessing our desires as I talk about here.

Let’s say I love guitars except red guitars. (Which happens to be true)

For our desires to be rational that must cohere or accord with our beliefs about the world. So if I believe that red guitars are actually the best guitars in the world, it is not rational that my desire doesn’t accord with my belief, (unless there was some other reason why I didn’t like red guitars).

To whatever extent we can know, the beliefs which our desires are based on should accord with the world to be considered rational.

So if I believe that painting the colour red on a guitar actually alters the sound of the instrument and that belief is false (which I think it is) then my aversion to red guitars is irrational.

But what about the idea that our desires and moral judgements are reducible or entailed by first order principles. In order for them to be rational they must accord with those principles (which is similar to a coherent desire set).

So if my aversion to red guitars is derived from a aesthetic aversion to all red ‘status symbols’ then it is coherent. (I don’t like red cars either but I don’t mind red T-shirts).

If I did like red bass guitars then there would need to be a reason why I regarded lead guitars and bass guitars as meaningfully different in this context. Otherwise my desire is not in accord with my principle (i.e. the belief or desire about red status symbols).

Of course the aversion to red status symbols may itself by reducible to a further belief or desire, but as long as it is consistent that the desire is rational. And yet it is arbitrary in the sense that it might have been any other colour were it not for the cultural and perhaps physiological associations with the colour red.

But I don’t think you are using arbitrary in this way, you are right to use it in terms of inconsistency.

So if the amoralist cares about the welfare of his friends but not anyone else, there may be a consistent explanation for this. The amoralist may only care about the people who are loyal to him et al. If he doesn’t care about family member who are also loyal to him, just because he is related to them (and no other reason) then we can charge him with irrationality.

However an intelligent amoralist (a sociopath like Hannibal Lecter) may very well avoid these inconsistencies in his desires and beliefs. Certainly even the most moral people may have irrational desires in some aspect of their lives.

So if the amoralist is consistent in his application of a lack of empathy, (and perhaps his disregard for his future self) then how is his immorality irrational?

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Common Sense?

In discussion over an engaging post about altruism by Richard over at Pixnaps he introduced an interesting point about common sense.

Richard: It involves rejecting our common-sense understanding of human action, and implies that we are engaged in massive self-deception.

IM: Definitely, why would you suppose that common-sense understanding of the human mind in reference to how we act just happens to be the best and most accurate model.

All else being equal, it counts against a theory if it is counter-intuitive. Similarly if it implies that most of our beliefs are false, that we are engaged in massive self-deception, etc. This isn’t a decisive objection, of course, but such uncharitibility does count against a theory. (The Brain-in-a-Vat hypothesis can account for all the data, but we reject it because it implies that all our common-sense beliefs are false. Simple realism is an alternative theory that serves much better in this regard. I have two hands, and I have other-regarding desires. We prefer theories that don’t contradict these core beliefs.) So the onus is on the theory’s proponent to show there is some advantage which makes this cost worth bearing.

I think that it is probably right in one sense that the counter-intuitive nature of a theory counts against a thoery but that this is outweighed by explanatory power.

The reason we develop theories is to grant an understanding of reality. If one theory gives an account of reality that confirms our common-sense beliefs and intuitions then it is far more palatable than one that requires us to reject our previously held notions and assumptions about the world and ourselves.

The danger here however is that because of its palatability we may search for theories to confirm our preconceived notions and ideas and our perspective may therefore skew.

Our aim and intent should always be to seek out those theories which grant the most explanatory power’. What does this mean? Well take the following passage from Shakespeare’s Macbeth:

Macbeth: Out, out, brief candle! Life’s but a walking shadow, a poor player That struts and frets his hour upon the stage and then is heard no more. It is a tale Told by an idiot, full of sound and fury, Signifying nothing.

1. Now one interpretation could be that in this line Macbeth is describing an actor whose name is ‘Life’ and only had one hour playing a part upon the stage before loosing his voice forever.

2. Another is that it is referring to the fragility and absurdity of life, demonstrating Macbeth’s morose reaction to the news that Lady Macbeth has killed herself.

Now neither one of these interpretations/theories are any more valid than the other, they are both logical in the sense that they are semantically clear and follow from the original passage. What differs between them is their explanatory power, interpretation two is clearly far more powerful when considered in the context of the scene and the play and enables the reader to gain an intimate understanding of the character Macbeth. Interpretation two makes the reader why Macbeth would bring up such an irrelevant anecdote at a time like this.

Equally, Copernicus theory of the orbits of heavenly bodies in our galaxy granted far more explanatory power than the alternatives of his day even though it required people to suppose that they were victims of a massive self-deception at the hands of the Church who were convinced of the veracity of the account of Genesis.

The brain in the vat hypothesis may explain why some people appear to have advanced telekinetic capabilities but it disables us from understanding how we interact with reality and raises further questions of how we came to exist in vats. This is why we reject it, or at least this is why we should reject it.

Why should the counter-intuitive nature of a theory count against it? Not because of the effort involved in adjusting long-held intuitions, but because common sense holds a great deal of explanatory power.

I think that common sense intuitions are developed through an evolutionary biological manner. That if are brains are formed at the same time as our bodies it makes sense that we are intuitively attracted to features that happen to be indicators of health in our mates. It makes sense that we are intuitively fearful, or less empathetic with foreigners who look different from ourselves. It makes sense that we can easily conceive of the idea of ten things but not of a trillion things.

Along this view it would also make sense that our common sense grants us very simple ideas with great explanatory power but with no ability to discover the inner mechanics of reality that may link everything together. It makes sense that we are engaged in a massive self-deception because these intuitions are based upon the interface between an evolving primate and the world.

In this sense, I propose that counter-intuition does not detract from a theory at all. Whereas limited explanatory power and over-complexity does.

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Logical Absurdity

So now we come to the absurdity of logical impossibility.

We would not think that those ideas beyond the comprehension of a platypus should have no possibility of existence. Why then would we think that a few million years of evolution would yield a piece of organic matter that was omniscient? That would be able to grasp all the truths possible in this universe or any other, and that anything that was “logically” nonsense must then be impossible?

It is arrogance of the highest level.

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Square Circles and other such Nonsense

Fortasse Veritam Non Est means “Perhaps Truth there’s not.” Or “Perhaps there is no truth”.

It is not a maxim upon which any certain conclusion can be drawn, because certainty there is not. Why? Because it does not claim that truth does not exist, it merely entertains that possibility.

Fortasse, is the key word, perhaps. To accept it means that something is possible, to deny it means that it is impossible. To say that it is possible that there is no truth is to say it is possible that anything is possible. That the realm of things that may be ‘true’ or existant is infinite in its capacity. The possibility of possibility itself.

Standard philosophical theory tells us that this is not the case, that there are well defined limits on what is possible. There is physical possibility, that which can coexist with the law’s of Earth physics. And logical possibility, that which can coexist with the laws of human logic.

It is no problem to entertain physical impossibilities because they simply need to be relocated to another planet, perhaps another universe. A heavy human walking on (liquid) water is considered impossible only because of our parochial attachment to the theorized physical barriers of this world.

There is not great intuitive leap in supposing that the world that we know is not the limit of the universe and to deny something’s existence in this world does not work to deny its existence at all.

This is not the case one we enter the realm of logical impossibility however. An object that is both a square and a circle at the same time cannot exist in any universe because it is contrary to itself, it violates simple logical laws. Intuitively this seems right, it simply makes no sense for the terms themselves are contradictory. These things lie outside the realm of human comprehension they are indeed nonsense.

It is interesting then that logical impossibilities are often used in Zen practices to prompt the student to reach Satori (enlightenment). To attain in the mind what is seemingly unattainable.

Can you yet see the same parochial attachment that is rampant in this distinction?

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