PHIL 120 Lecture Notes - Lecture 3: Logical Biconditional, If And Only If, Logical Consequence

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redhound485

5 Jul 2016

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An argument or inference is an entailment iff. Its conclusion conclusively follows from its premises. A set of premises entails a conclusion iff. The conclusion conclusively follows from the premises. If p then q = only if q then p. Only if p then q = if q then p. If and only if - is a biconditional, combination of both if and only if. Argument may be valid, may be invalid; insufficient information. Inference from the premises to the conclusion - good. Therefore, the moon is made of green cheese f. Inference from the premises to the conclusion - bad. Therefore, all frogs are good at logic f. If today is wednesday then tomorrow is thursday. *all arguments t|f, t|t, f|t, f|f can be invalid; its invalidity depends on its inference from premises. *all arguments can be valid except for t|f; its validity for the other three cases depends on its inference from premises.

Related Questions

Good Vibes: Introduction to Oscillations

The conditions that lead to simple harmonic motion are as follows:

There must be a position of stable equilibrium.

There must be a restoring force acting on the oscillating object. The direction of this force must always point toward the equilibrium, and its magnitude must be directly proportional to the magnitude of the object's displacement from its equilibrium position. Mathematically, the restoring force F⃗ is given by ⃗, where is the displacement from equilibrium and k is a constant that depends on the properties of the oscillating system.

The resistive forces in the system must be reasonably small.

Consider a block of mass m attached to a spring with force constant k, as shown in the figure(Figure 1) . The spring can be either stretched or compressed. The block slides on a frictionless horizontal surface, as shown. When the spring is relaxed, the block is located at x=0. If the block is pulled to the right a distance A and then released, A will be the amplitude of the resulting oscillations.

Assume that the mechanical energy of the block-spring system remains unchanged in the subsequent motion of the block.

Part A

After the block is released from x=A, it will

(a) remain at rest

(b) move to the left until it reaches equilibrium and stop there.

(d) move to the left until it reaches x=−A and then begin to move to the right.

The time it takes the block to complete one cycle is called the period. Usually, the period is denoted T and is measured in seconds.

The frequency, denoted f, is the number of cycles that are completed per unit of time: f=1/T. In SI units, f is measured in inverse seconds, or hertz (Hz).

Part B

If the period is doubled, the frequency is

(a) unchanged

(b) doubled

Part C

An oscillating object takes 0.10 s to complete one cycle; that is, its period is 0.10 s. What is its frequency f?

Express your answer in hertz.

Part D

If the frequency is 40 Hz, what is the period T?

Express your answer in seconds.

The following questions refer to the figure (Figure 2) that graphically depicts the oscillations of the block on the spring.

Note that the vertical axis represents the x-coordinate of the oscillating object, and the horizontal axis represents time.

Part E

Which points on the x-axis are located at a distance A from the equilibrium position?

(a) R only

(b) Q only

Part F

Suppose that the period is T. Which of the following points on the t-axis are separated by the time interval T?

(a) K and L

(b) K and M

(d) L and N

(e) M and P

Now assume for the remaining Parts G - J, that the x coordinate of point R is 0.12 m and the t coordinate of point K is 0.0050 s.

Part G

What is the period T?

Express your answer in seconds.

Part H

How much time t does the block take to travel from the point of maximum displacement to the opposite point of maximum displacement?

Express your answer in seconds.

Part I

What distance d does the object cover during one period of oscillation?

Express your answer in meters.

Part J

What distance d does the object cover between the moments labeled K and N on the graph?

Express your answer in meters.

emeraldyak680

Brief and detail

If relativism is true, can you ever judge something as being morally wrong? Consider some really horrible actions, genocide, murder, slavery, torture or add your own. If you feel a relativist could say that these things are actually wrong, what gives them this ability? If they can't, why not?

Agree or disagree

Similarly to what I said in the first discussion on what morality means to us, I think everyone has their own set of moral principles and obligations. So I do think that relativism is true, to a point however. I used Adolf Hitler and the Nazi empire as an example in the first discussion so I will use that here. Hitler knew in his brain that what he was doing was good for his nation and arguably the world. Now, as a modern day society we can agree that was wrong. For him, it was good. In his own mind, he is right. But it is relative to the person. Generally speaking we all have similar notions of what is right and what is wrong. Most people would say that going out of your way to help someone else is a morally good principle. Selflessness in society is seen a good thing by the vast majority of people. When I say that relativism is good to a point, I mean that there is a general basis in society that deems actions as good or bad. And since most of us would all agree that hitlers actions were bad, then we say that he had bad moral principles, even though to him, they were good. It’s a little confusing even for me to put into words. Basically, if you actions are generally viewed in society as good, then you have good moral principles even if they vary from person to person. No one will have the exact same moral standards, but generally they all are very similar in society. So relativism is true until the point where the majority of society would deem your actions and wrong. I hope this makes sense.

Agree or disagree

If relativism is true, I don't think judging something as morally wrong is possible. Because the definition of ethical relativism is the moral standard only being correctly relative to each person/society, this means that the moral standard is created by you and/or the society you identify with and therefore eliminate the existence of an absolute moral principle. Since the moral standard is different for every individual, we cannot say that someone is morally wrong. If relativism is applied, that is. If a relativist were to say that they could judge someone as morally wrong, then that would contradict the main component of being a relativist. That every moral argument of yours is correct, therefore everyone else's is also correct. Quite problematic but that is my understanding on the matter

ell25

1. An object is dropped from a height.Once it is moving,which ofthe following statements are true,at least at one point?
a)its velocity is more than its accelerations
b)its velocity is less than its acceleration
c)its velocity is the same as its acceleration
d)its velocity is never equal to its acceleration

2. Which type of quantity is characterized by both magnitude anddirection?
a)scalar
b)vector
c)trigonometric
d)algebraic variable

3. A hiker walks 200m west and then walks 100m north. In whatdirection is her resulting displacement?
a)north
b)west
c)northwest
d)none of the answer is correct

4. Vector 1 is 7 units long and is at 70 degree. Vector 2 is 5units long and is at 225 degree. Vector 3 is a 3 units long and isat 150 degree. Which vector has equal magnitude components?
a)Vector 1
b)vector2
c)vector 3
d)none of the vectors has equal magnitude components??????

5. Which of the following is an example of the type of force thatacts at a distance?
a)gravitational
b)magnetic
c)electrical
d)all of the above

6. A crate weight W is being pushed across a horizontal surface bya force directed at an angle of 20 degrees below the horizontal.What is the magnitude of the normal force on the crate?
a)it is less then W
b)it equals W
c)it is more than W
d)none of the above since the coefficient of kinetic friction isnot given

7. The net force on an object is in the positive x-direction.Consider the following statements.
(i) The object can be moving in the negative x-direction.
(ii) The object can be speeding up.
(iii) The object can be slowing down.
(iv) The object can be moving in the positive y-direction.

Which of the statements are true?
a. (i) and (ii)
b. (ii) and (iii)
c. (iii) and (iv)
d. Choose this answer if all the statements are true.

8.The work done by static friction can be:
a. positive.
b. negative.
c. zero.
d. Any of the above.

9.The rate at which work is done is equivalent to which of thefollowing?
a. increase in potential energy
b. thermal energy
c. potential energy
d. power

10.The dimensional equivalent of the quantity impulse in terms ofthe fundamental quantities (mass, length,
time) is which of the following?
a. MLT-1
b. ML2T-2
c. MLT
d. MLT-2

11. The dimensional equivalence of the quantity "momentum" in termsof the fundamental quantities (mass,
length, time) is:
a. MLT-1.
b. ML2T-2.
c. MLT.
d. MLT-2.

12.In order for a satellite to be geosynchronous, its orbitmust:
a. go over the North and South Poles.
b. be over the equator.
c. be over a single longitude.
d. emit television signals.

13. The quantity "angular momentum" (in terms of the fundamentalquantities of mass, length, and time) is equivalent
to:
a. MLT-2.
b. ML2T-1.
c. ML2T-3.
d. ML3T.
d. MLT-2.

PHIL 120 Lecture Notes - Lecture 3: Logical Biconditional, If And Only If, Logical Consequence

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