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PHIL 367 Lecture : PHIL 367 - Lecture (Mar. 5th)

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champagnegoat805
10 Mar 2012
School
McGill University
Department
Philosophy
Course
PHIL 367
Professor
Susan Judith Hoffmann

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Document Summary

The system is logically possible, but fraught with difficulties. An existential system is not possible for humanity. It does exist, but humanity can neither observe nor grasp it. This is because any existential system is a completed whole, but existence is never completed. We"re always on the way. systematic thought must think of existence as mediated, finished, redundant, and this is not existence. It is precisely because humanity is an unfinished striving that we can never grasp the goal of striving with any finality. Therefore, it is impossible for the systematic philosopher to look back on his existential system, because he is still in existence. That is why the systematic philosopher is ridiculous. Thus, the system is both the completion and the elimination of life itself. Or the philosopher thinks some quantitative transition is possible from the finite to the infinite. All of these are ridiculous and impossible, according to kierkegaard.

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<p>A student wants to check the resistance of a resistor by measuring the voltage across it (V) and the resulting current through it (I) and then calculating the resistance R=V/I. He measures four different values of V and the corresponding currents I, as follows:<br /><br />Voltage, V (volts): 11.2 13.4 15.1 17.7<br />Current, I (amps): 4.67 5.46 6.28 7.22<br /><br />A) Calculate the four corresponding values of R (which will come out in ohms). What is his best estimate for R, and what is the random component of its uncertainty (deltaRrandom)?<br /><br />B)The resistor is rated at 2.50 ohms, which does not lie within the range Rbest + or - deltaRrandom, so he considers the possibility that the voltmeter and ammeter suffer some systematic error. The lab technician states that many of the meters in the lab have up to a 2 percent systematic error. Use error propagation to find the possible systematic error in R, and then combine the systematic and random errors to give the total uncertainty. (In both calculations, combine errors in quadrature.) What is his final answer and how does it compare with the given value?</p>

A student wants to check the resistance of a resistor by measuring the voltage across it (V) and the resulting current through it (I) and then calculating the resistance R=V/I. He measures four different values of V and the corresponding currents I, as follows:

Voltage, V (volts): 11.2 13.4 15.1 17.7
Current, I (amps): 4.67 5.46 6.28 7.22

(a) Calculate the four corresponding values of R (which will come out in ohms). What is his best estimate for R, and what is the random component of its uncertainty (delta_Rrandom)?

(b)The resistor is rated at 2.50 ohms, which does not lie within the range R_best + or - deltaR_random, so he considers the possibility that the voltmeter and ammeter suffer some systematic error. The lab technician states that many of the meters in the lab have up to a 2 percent systematic error. Use error propagation to find the possible systematic error in R, and then combine the systematic and random errors to give the total uncertainty. (In both calculations, combine errors in quadrature.) What is his final answer and how does it compare with the given value?