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How can we acquire knowledge about the essential nature of the bodies located outside us?
Through the intellect alone.
‘The only principles which I accept or require in physics are those of geometry and pure mathematics; these principles explain all natural phenomena, and enable us to provide quite certain demonstrations regarding them’
Principles
How could the intellect alone enable us to know the essential nature of things?
‘I am certain that I am a thinking thing.
Do I not therefore also know what is required for my being certain about anything?
In this first item of knowledge there is simply a clear and distinct perception of what I am asserting; this would not be enough to make me certain of the truth of the matter if it could ever turn out that something which I perceived with such clarity and distinctness was false.’
‘I now seem to be able to lay it down as a general rule that
whatever I perceive clearly and distinctly is true’
(Meditation 3)
1. I clearly and distinctly perceive that I am a thinking thing.
2. This clear and distinct perception is enough for certainty.
3. Suppose not all clear and distinct perceptions were enough for certainty about what is perceived.
4. Then no clear and distinct perception would be enough for certainty.
5. But then my clear and distinct perception that I am thinking would not be enough for certainty.
6. Which it is.
7. So #3 leads to contradiction.
8. So all clear and distinct perceptions are enough for certainty.
How could the intellect alone enable us to know the essential nature of things?
‘I am certain that I am a thinking thing.
Do I not therefore also know what is required for my being certain about anything?
In this first item of knowledge there is simply a clear and distinct perception of what I am asserting; this would not be enough to make me certain of the truth of the matter if it could ever turn out that something which I perceived with such clarity and distinctness was false.’
‘I now seem to be able to lay it down as a general rule that
whatever I perceive clearly and distinctly is true’
(Meditation 3)
1. What are clear and distinct perceptions?
2. Why think perceptions which are not clear and distinct do not yield knowledge?
3. Why think clear and distinct perceptions do yield knowledge?
How could the intellect alone enable us to know the essential nature of things?
‘I am certain that I am a thinking thing.
Do I not therefore also know what is required for my being certain about anything?
In this first item of knowledge there is simply a clear and distinct perception of what I am asserting; this would not be enough to make me certain of the truth of the matter if it could ever turn out that something which I perceived with such clarity and distinctness was false.’
‘I now seem to be able to lay it down as a general rule that
whatever I perceive clearly and distinctly is true’
(Meditation 3)
Example: the wax
‘the perception I have of it is a case not of
vision or touch or imagination
... but of
purely mental scrutiny;
Option 1: ‘clear and distinct’ is a psychological property
Option 2: ‘clear and distinct’ is a lose way of talking about whatever underpins mathematical knowledge
1. What are clear and distinct perceptions?
Those involved in thinking mathematically.
2. Why think perceptions which are not clear and distinct do not yield knowledge?
Erm ... because only mathematics yields knowledge?
3. Why think clear and distinct perceptions do yield knowledge?
Because mathematics is possible.
Option 1: ‘clear and distinct’ is a psychological property
Option 2: ‘clear and distinct’ is a lose way of talking about whatever underpins mathematical knowledge
But Euclid’s fifth postulate (the ‘parallel postulate’) ...
... and the Axiom of Choice ...
... and ...
Option 1: ‘clear and distinct’ is a psychological property
Option 2: ‘clear and distinct’ is a lose way of talking about whatever underpins mathematical knowledge
Dilemma: is your perception of the parallel posulate clear and distinct?
If not, you can never know which perceptions are clear and distinct.
If it is, not all clear and distinct perceptions yield knowledge.
Option 1: ‘clear and distinct’ is a psychological property
Option 2: ‘clear and distinct’ is a lose way of talking about whatever underpins mathematical knowledge
But Euclid’s fifth postulate (the ‘parallel postulate’) ...
... and the Axiom of Choice ...
... and ...
‘What is meant by a clear perception, and by a distinct perception.
I call a perception 'clear' when it is present and accessible to the attentive mind - just as we say that we see something clearly when it is present to the eye's gaze and stimulates it with a sufficient degree of strength and accessibility.
I call a perception 'distinct' if, as well as being clear, it is so sharply separated from all other perceptions that it contains within itself only what is clear’
Descates (Principles of Philosophy)
1. What are clear and distinct perceptions?
2. Why think perceptions which are not clear and distinct do not yield knowledge?
3. Why think clear and distinct perceptions do yield knowledge?
puzzle
Hypothesis testing
1. Sensory perception alone cannot tell you which hypothesis is true.
2. Humans are disposed to accept many false hypotheses.
Therefore:
3. Your sensory perceptions and sense of what is plausible should not constrain which hypotheses you consider.
4. ... but observation (sensory perception) is essential for testing hypotheses.
xkcd.com/2115
How can we acquire knowledge about the essential nature of the bodies located outside us?
Negative part
Sensory perceptions provide only very obscure information about the essential nature of bodies.
∴ Not by treating sensory perceptions as a basis for judgements about them.
Positive part
Through the intellect alone.
method: take only what is good, waste no time on flaws
‘The [...] natural light [...] enables me to perceive that I would have given myself all the perfections of which I have an idea, if I had given myself existence’
(Fourth Replies).
‘the learned often employ distinctions so subtle that they disperse the natural light, and they detect obscurities even in matters which are perfectly clear to peasants’
\citep[p.~59]{descartes:1985_csm1}
(Rule 14).
Sensory perceptions of tastes, smells, sounds, heat, cold, light, colors and the like ‘do not represent anything located outside our thought’
Principles
‘from time to time I have found that the senses deceive’
Meditation 1
‘when I see a stick, it [is] simply that rays of light are reflected off the stick and set up certain movements in the optic nerve and, via the optic nerve, in the brain
This movement in the brain ... is the first grade of sensory response.
the second grade ... extends to the mere perception of the colour and light reflected from the stick [...]
Nothing more than this should be referred to the sensory faculty, if we wish to distinguish it carefully from the intellect.
But suppose that ... I make a rational calculation about the ... shape ... of the stick:
although such reasoning is commonly assigned to the senses (which is why I have here referred it to the third grade of sensory response), it ... depends solely on the intellect.
Sixth Replies
Sensory perceptions of tastes, smells, sounds, heat, cold, light, colors and the like ‘do not represent anything located outside our thought’
Principles
‘from time to time I have found that the senses deceive’
Meditation 1
Or?
‘there may be some occurrence, not in the foot but in one of the other areas through which the nerves travel in their route from the foot to the brain, or even in the brain itself;
and if this cause produces the same motion which is generally produced by injury to the foot, then pain will be felt as if it were in the foot.
This deception of the senses is natural’
Sixth Meditation
On Descartes’ view, can the senses deceive?
Sensory perceptions of tastes, smells, sounds, heat, cold, light, colors and the like ‘do not represent anything located outside our thought’
Principles
‘from time to time I have found that the senses deceive’
Meditation 1
‘pain will be felt as if it were in the foot [...] This deception of the senses is natural’
Meditation 6