In my last post, I showed that the brain does not encode concepts in terms of necessary and sufficient conditions. So, any philosophical practice which assumes this — as much of 20th century conceptual analysis seems to do — is misguided.
This argument must be missing something crucial, because it fails to account for why the necessary-and-sufficient approach is so fantastically useful in mathematics. Mathematics deals with human concepts. Many of these concepts are very likely not stored in the brain as necessary and sufficient conditions. (Concepts learned in a formal setting might be stored that way, but there's little reason to think that a common concept like "triangle" is for most people.) And yet it proved incredibly fruitful to recast these concepts in terms of necessary and sufficient conditions.
In the case of mathematics, it turns out to be worthwhile to think about concepts in the decidedly unnatural mode of necessary and sufficient conditions. One might reasonably have hoped that the same admittedly unnatural mode would prove similarly worthwhile for concepts like "democracy". After all, unnatural doesn't necessarily mean worse. Now, for concepts like "democracy", the unnatural approach does prove to be worse. But it can't be simply because the approach was unnatural.
he's saying that philosophy that assumes people ordinarily categorize using nasc is misguided philosophy.
Yes, that looks like a more accurate reading than the one I'd made. But, in that case, I think that Luke is incorrect to say that "much of 20th century conceptual analysis seems to" make that assumption. Philosophers who do conceptual analysis aren't making that assumption any more than were the mathematicians who NASC-ified pre-formal concepts about quantity or geometry.
It is one thing to suppose that there exists, in some ideal sense, a list of predicates satisfied by all and only the things that you would call "knowledge". Conceptual analysts do hope to find such a list. They assume that such a list is "out there" to be found. But they don't necessarily assume that your brain, when it encounters a possible case of knowledge, actually runs down an explicit list of predicates and checks each against the given case before deciding to call it "knowledge". They might think that we would be better off if we had such a list and used it in that way, but they don't necessarily assume that that is how the brain does things now.
The distin...
The error happens when the philosopher thinks that defining "goodness" or "knowledge" as a set of necessary and sufficient conditions actually captures his pre-theoretic intuitive concept of "goodness" or "knowledge." Mathematicians, I hope, are not making that mistake. They are working with a cleanly defined formal system, and have no illusions that their pre-theoretic intuitive concept of "infinity" exactly matches the term's definition in their formal system.
(Emphasis added.)
No to "exactly matches", but yes to "actually captures", in the sense of "actually captures enough of". A typical mathematical definition of "infinite" is "A set S is infinite if and only if there exists a bijection between S and a proper subset of S." It's not a coincidence that the pre-formal and formal concepts of "infinity" are both called "infinity". The formal concept captures enough of the pre-formal concept to deserve the same name. One can use the formal concept in lots of the places where people were accustomed to using the pre-formal concept, with the bonus that the forma...
I'm going to be pretty critical here.
Problem 1: Just-so stories. There are stories told about many of the metaphors based only on guesses, which result in occasional inaccuracy. For example, "stand up to something" comes from fistfights, not a general tendency to see up as good.
Problem 2: Commonplace facts, or facts leading nowhere. For example, in English we often use the metaphor of life as a journey. We know this already. What should we do with it?
If the parts exhibiting these problems were eliminated from the post as it is now, you'd basically be left with bits of the introduction, one example of a common metaphor, the bit on Zeno's arrow, and the last ten lines. Not very much. Something I'd like to see an example of is change in non-moral ideas resulting in a change in moral behavior that uses the non-moral ideas as a metaphor, and implications for the project of trying to isolate "human morality."
What happens when we fail to realize that our thinking is metaphorical?
We also get Deep Wisdom platitudes, like Pico Iyer's statement in How to Live Forever that went something like 'a life is like a book, and a book needs an ending, so lives need to end too.'
It seems to be a prediction of this idea that the metaphors you listed should be found even in extremely disconnected cultural settings: find a jungle tribe uncontaminated by western civilization, and you should expect their word for "destination" to also mean "goal", and so forth. Is this the case?
Which brings me to my next point... where's my mountain of footnotes/citations???
So, any philosophical practice which assumes this — as much of 20th century conceptual analysis seems to do — is misguided.
It seems worth noting that while it's indeed true of much of 20th century conceptual analysis, I don't think it's even true of most, and it's been pretty widely accepted for some time that necessary and sufficient conditions don't get you all the way to a definition.
Suppose, Zeno argues, that time really is a sequence of points constituting a time line. Consider the flight of an arrow. At any point in time, the arrow is at some fixed location. At a later point, it is at another fixed location. The flight of the arrow would be like the sequence of still frames that make up a movie. Since the arrow is located at a single fixed place at every time, where, asks Zeno, is the motion?
I never understood the paradox here. Isn't the answer just the change from one frame to the next?
There is a difference between the brain encoding concepts a certain way and concepts themselves being a certain way (or best studied at a certain level of abstraction, or best characterized in terms of necessary and sufficient conditions, etc.). Analogously, when I think of the number 2, I might associate it with certain typical memories, perceptions, other mathematical ideas, etc. etc. None of this has anything (well, almost anything) to do with the number 2 itself, but rather merely with my way of grasping it.
Concepts, like the number 2, are so-called “...
... I don't recognize myself in any of these. Probably something weird about my brain, but your choice of examples not being diverse enough might also be a factor.
I can't seem to figure out if I'm just exceptionally poor at noticing my use of metaphor, or I use different metaphors but with the same general principle due to being so excessively visually oriented, or I've trained them away by obsessing about using more accurate mathematical ones. Or maybe something I haven't though of.
Looking at your last page of comments, I see you mentioning an idea arising, being struck by an idea, your brain throwing rationalizations at an idea, and your inability to handle an idea. If that's typical, it would follow that you do use metaphor in your speech (no surprise; most people do) and your preferred metaphorical mode is kinesthetic, not visual.
Another important one: Height/Altitude is authority. Your boss is "above" you, the king, president or CEO is "at the top", you "climb the corporate ladder"
An interesting contribution to is this book by Hofstadter and Sanders
They explain thinking in terms of analogy, which as they use the term encompasses metaphor. This book is the a mature cognitive sciencey articulation of many of the fun and loose ideas that Hofstadter first explored in G.E.B.
I mean, I always disliked L&J's work. Perhaps because there is a tendency for overstatements overall, perhaps because it often gets dragged to grammatical categories as well, where the basis is much lower (while lexical Time is certainly often metaphorized as both Money and Space, grammatical tense is never Money (and its similarity to spatial relationships, when persists, is due to the concept of axis relevant for both)).
(Now, as linguists rarely agree on anything, there are certainly linguists (Croft 2001 "Radical Construction Grammar", for one) who claim that lexical/grammatical distinction is non-existent. I believe this is a no-go, but you might believe otherwise.)
If these metaphors are shaped by our sensorimotor systems, shouldn't we expect them to be similar across all cultures (and languages) ? Are they, in fact, similar across all cultures ? I am not a linguist or an anthropologist, so I can't really answer that question. I can identify a few metaphors that are different in Russian, but maybe those are outliers.
Quantity is size
Example: "That's a large salary"
Mapping: From numbers and quantities to size.
Experience: Observing that multiple things occupy a larger volume than a single instance.
I hadn't previously appreciated just how deep this mapping is. Basically all language about numbers goes through size: is a huge number, is such a small portion. Fine, when comparing numbers you say "three is greater than two". But in Finnish we also say "three is bigger than two" and "five is smaller than seven", and "two plus two is as lar...
Part of the sequence: Rationality and Philosophy
In my last post, I showed that the brain does not encode concepts in terms of necessary and sufficient conditions. So, any philosophical practice which assumes this — as much of 20th century conceptual analysis seems to do — is misguided.
Next, I want to show that human abstract thought is pervaded by metaphor, and that this has implications for how we think about the nature of philosophical questions and philosophical answers. As Lakoff & Johnson (1999) write:
To understand how fundamental metaphor is to our thinking, we must remember that human cognition is embodied:
Consider, for example, the fact that as neural beings we must categorize things:
Moreover, almost all our categorizations are determined by the unconscious associative mind — outside our control and even our awareness — as we interact with the world. As Lakoff & Johnson note, "Even when we think we are deliberately forming new categories, our unconscious categories enter into our choice of possible conscious categories."
And because our categories are shaped not by a transcendent, universal faculty of reason but by the components of our sensorimotor system that process our interaction with the world, our concepts and categories end up being largely sensorimotor concepts and categories.
Here are some examples of metaphorical thought shaped by the sensorimotor system:
Important Is Big
Example: "Tomorrow is a big day."
Mapping: From importance to size.
Experience: As a child, finding that big things (e.g. parents) are important and can exert major forces on you and dominate your visual experience.
Intimacy Is Closeness
Example: "We've been close for years, but we're beginning to drift apart."
Mapping: From intimacy to physical proximity.
Experience: Being physically close to people you are intimate with.
Difficulties Are Burdens
Example: "She's weighed down by her responsibilities."
Mapping: From difficulty to muscular exertion.
Experience: The discomfort or disabling effect of lifting or carrying heavy objects.
More Is Up
Example: "Prices are high."
Mapping: From quantity to vertical orientation.
Experience: Observing the rise and fall of levels of piles and fluids as more is added or subtracted.
Categories Are Containers
Example: "Are tomatoes in the fruit or vegetable category?"
Mapping: From kinds to spatial location.
Experience: Observing that things that go together tend to be in the same bounded region.
Linear Scales Are Paths
Example: "John's intelligence goes way beyond Bill's."
Mapping: From degree to motion in space.
Experience: Observing the amount of progress made by an object.
Organization Is Physical Structure
Example: "How do the pieces of this theory fit together?"
Mapping: From abstract relationships to experience with physical objects.
Experience: Interacting with complex objects and attending to their structure.
States Are Locations
Example: "I'm close to being in a depression and the next thing that goes wrong will send me over the edge.
Mapping: From a subjective state to being in a bounded region of space.
Experience: Experiencing a certain state as correlated with a certain location (e.g. being cool under a tree, feeling secure in a bed).
Purposes Are Destinations
Example: "He'll ultimately be successful, but he isn't there yet."
Mapping: From achieving a purpose to reaching a destination in space.
Experience: Reaching destinations throughout everyday life and thereby achieving purposes (e.g. if you want food, you have to go to the fridge).
Actions Are Motions
Example: "I'm moving right along on the project."
Mapping: From action to moving your body through space.
Experience: The common action of moving yourself through space, especially in the early years of life when that is to some degree the only kind of action you can take.
Understanding Is Grasping
Example: "I've never been able to grasp transfinite numbers."
Mapping: From comprehension to object manipulation.
Experience: Getting information about an object by grasping and manipulating it.
As a neural being interacting with the world, you can't help but build up such "primary" metaphors:
Primary metaphors are combined to build complex metaphors. For example, Actions Are Motions and Purposes Are Destinations are often combined to form a new metaphor:
A Purposeful Life is a Journey
Example: "She seems lost, without direction. She's fallen off track. She needs to find her purpose and get moving again."
Can we think without metaphor, then? Yes. Our concepts of so-called "basic level" objects (that we interact with in everyday experience) are often literal, as are sensorimotor concepts. Our concepts of "tree" (the thing that grows in dirt), "grasp" (holding an object), and "in" (in the spatial sense) are all literal. But when it comes to abstract reasoning or subjective judgment, we tend to think in metaphor. We can't help it.
Implications for philosophical method
What happens when we fail to realize that our thinking is metaphorical? Let's consider a famous example: Zeno's paradox of the arrow.
Zeno described time as a sequence of points along a timeline. Now, consider an arrow in flight. At any point on the timeline, the arrow is at some particular fixed location. At a later point on the timeline, the arrow is at a different location. But since the arrow is located at a single fixed place at every point in time, then where is the motion?
The puzzle arises when you take the metaphor of time as discrete points along the space of a timeline as being literal:
Moral concepts as metaphors
For a more detailed illustration of the philosophical implications of metaphorical thought, let's examine the metaphors that ground our moral concepts:
Well-Being Is Wealth is not the only metaphor behind our moral thinking. Here are a few others:
Being Moral Is Being Upright; Being Immoral Is Being Low; Evil Is a Force
Example: "He's an upstanding citizen. She's on the up and up. She's as upright as they come. That was a low thing to do. He's underhanded. I would never stoop to such a thing. She fell from grace. She succumbed to the floods of emotion and the fires of passion. She didn't have enough moral backbone to stand up to evil."
How does the metaphorical nature of our moral concepts constrain moral philosophy? Let us contrast a traditional view of moral concepts with the view of moral concepts emerging from cognitive science:
An explosion of productivity in moral psychology since Lakoff & Johnson's book was published has confirmed these claims. The convergence of evidence suggests that multiple competing systems contribute to our moral reasoning, and they engage many processes not unique to moral reasoning.
Once again, knowledge of cognitive science constrains philosophy:
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