what kinds of things are we certain about?. mathematical and logical truths

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What kinds of things are we certain about?

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Page 1: What kinds of things are we certain about?. Mathematical and logical truths

What kinds of things are we certain about?

Page 2: What kinds of things are we certain about?. Mathematical and logical truths

What kinds of things are we certain about?

Mathematical and logical truths.

Page 3: What kinds of things are we certain about?. Mathematical and logical truths

What kinds of things are we certain about?

Mathematical and logical truths.

The evidence of our senses?

Page 4: What kinds of things are we certain about?. Mathematical and logical truths

Certainty about our senses?

The possibility of manufactured sense experience not caused by objects we think we’re experiencing makes it possible that any given sense experience is illusory, and therefore open to doubt--the Matrix

Page 5: What kinds of things are we certain about?. Mathematical and logical truths

Arguments against the certainty of the senses fuel rationalism.

Page 6: What kinds of things are we certain about?. Mathematical and logical truths

Arguments against the certainty of the senses fuel rationalism.

Rationalism is the view that knowledge can be had independent of experience--a priori knowledge.

Page 7: What kinds of things are we certain about?. Mathematical and logical truths

Challenges to rationalism:

Page 8: What kinds of things are we certain about?. Mathematical and logical truths

Challenges to rationalism:

The world we experience seems fundamentally unknowable because it’s uncertain.

Page 9: What kinds of things are we certain about?. Mathematical and logical truths

Challenges to rationalism:

The world we experience seems fundamentally unknowable because it’s uncertain.

The things that we can know according to rationalism might not be that interesting. A priori statements seem to be vacuous, only true in virtue of how we define the terms.

Page 10: What kinds of things are we certain about?. Mathematical and logical truths

Challenges to rationalism:

The scientific revolution

Scientific advances, especially in physics, yielded major technological advances.

Page 11: What kinds of things are we certain about?. Mathematical and logical truths

Challenges to rationalism:

The scientific revolution

Scientific advances, especially in physics, yielded major technological advances.

Because the natural sciences were observational, their success made empiricism seem obvious, whatever the philosophers’ discomforts.

Page 12: What kinds of things are we certain about?. Mathematical and logical truths

The dominance of empiricism--only claims rooted in experience and tested by experience are knowledge.

Page 13: What kinds of things are we certain about?. Mathematical and logical truths

The dominance of empiricism requires rethinking the relationship between knowledge and certainty.

Page 14: What kinds of things are we certain about?. Mathematical and logical truths

The dominance of empiricism requires rethinking the relationship between knowledge and certainty.

Knowledge comes to be understood as tentative or provisional—the best conclusion given the evidence we have so far and given the possibility of observer error.

Page 15: What kinds of things are we certain about?. Mathematical and logical truths

Consequences of the ascendancy of empiricism:

Page 16: What kinds of things are we certain about?. Mathematical and logical truths

Consequences of the ascendancy of empiricism:

Some areas we might care deeply about don’t seem rooted in or testable by experience, and so can’t be known:

Page 17: What kinds of things are we certain about?. Mathematical and logical truths

Consequences of the ascendancy of empiricism:

Some areas we might care deeply about don’t seem rooted in or testable by experience, and so can’t be known:

Claims about beauty—aesthetic claims

Page 18: What kinds of things are we certain about?. Mathematical and logical truths

Consequences of the ascendancy of empiricism:

Some areas we might care deeply about don’t seem rooted in or testable by experience, and so can’t be known:

Claims about beauty—aesthetic claims

Claims about goodness—ethical claims

Page 19: What kinds of things are we certain about?. Mathematical and logical truths

Consequences of the ascendancy of empiricism:

Some areas we might care deeply about don’t seem rooted in or testable by experience, and so can’t be known:

Claims about beauty—aesthetic claims

Claims about goodness—ethical claims

Claims about any reality not accessible to the senses—metaphysical and religious claims

Page 20: What kinds of things are we certain about?. Mathematical and logical truths

Consequences of the ascendancy of empiricism:

Beauty, goodness, and religion come to be thought of as subjective.

Page 21: What kinds of things are we certain about?. Mathematical and logical truths

Questions about empiricism:

Page 22: What kinds of things are we certain about?. Mathematical and logical truths

Questions about empiricism:

Can we test even claims about the material universe against experience?

Page 23: What kinds of things are we certain about?. Mathematical and logical truths

Questions about empiricism:

Can we test even claims about the material universe against experience? The failure of an experimental test might not be due to the falsehood of the hypothesis being tested. Several hypotheses are always assumed in any experiment. The failure might be due to the falsehood of one of those assumed hypotheses.

Page 24: What kinds of things are we certain about?. Mathematical and logical truths

Questions about empiricism:

Can we test even claims about the material universe against experience? The failure of an experimental test might not be due to the falsehood of the hypothesis being tested. Several hypotheses are always assumed in any experiment. The failure might be due to the falsehood of one of those assumed hypotheses.

Are our observations shaped by our background assumptions, or expectations or theories that we bring to them?

Page 25: What kinds of things are we certain about?. Mathematical and logical truths

Questions about empiricism:

Can we test even claims about the material universe against experience? The failure of an experimental test might not be due to the falsehood of the hypothesis being tested. Several hypotheses are always assumed in any experiment. The failure might be due to the falsehood of one of those assumed hypotheses.

Are our observations shaped by our background assumptions, or expectations or theories that we bring to them? If so, then our observations may be “confirming” only what we already believed, and not how the world actually is.

Page 26: What kinds of things are we certain about?. Mathematical and logical truths

Questions about empiricism:

Questions like these, sometimes thought of as a “postmodern” criticism of empiricism, reopen the possibility that scientific beliefs may have more in common with religious belief than has been thought for the last hundred years or so.

Page 27: What kinds of things are we certain about?. Mathematical and logical truths

What about religious belief?