Comprehension
Analyse the following passage and provide appropriate answers for the questions that follow:
Each piece, or part, of the whole of nature is always merely an approximation to the complete truth, or the complete truth so far as we know it. In fact, everything we know is only some kind of approximation, because we know that we do not know all the laws as yet. Therefore, things must be learned only to be unlearned again or, more likely, to be corrected. The principal of science, the de nition, almost, is the following: The test of all knowledge is experiment. Experiment is the sole judge of scienti c “truth.” But what is the source of knowledge? Where do the laws that are to be tested come from? Experiment, itself, helps to produce these laws, in the sense that it gives us hints. But also needed is imagination to create from these laws, in the sense that it gives us hints. But also needed is imagination to create from these hints the great generalizations – to guess at the wonderful, simple, but very strange patterns beneath them all, and then to experiment to check again whether we have made the right guess. This imagining process is so di cult that there is a division of labour in physics: there are theoretical physicists who imagine, deduce, and guess at new laws, but do not experiment; and then there are experimental physicists who experiment, imagine, deduce, and guess.
We said that the laws of nature are approximate: that we rst nd the “wrong” ones, and then we nd the “right” ones. Now, how can an experiment be “wrong”? First, in a trivial way: the apparatus can be faulty and you did not notice. But these things are easily xed and checked back and forth. So without snatching at such minor things, how can the results of an experiment be wrong? Only by being inaccurate. For example, the mass of an object never seems to change; a spinning top has the same weight as a still one. So a “law” was invented: mass is constant, independent of speed. That “law” is now found to be incorrect. Mass is found is to increase with velocity, but appreciable increase requires velocities near that of light. A true law is: if an object moves with a speed of less than one hundred miles a second the mass is constant to within one part in a million. In some such approximate form this is a correct law. So in practice one might think that the new law makes no signi cant difference. Well, yes and no. For ordinary speeds we can certainly forget it and use the simple constant mass law as a good approximation. But for high speeds we are wrong, and the higher the speed, the wrong we are. Finally, and most interesting, philosophically we are completely wrong with the approximate law. Our entire picture of the world has to be altered even though the mass changes only by a little bit. This is a very peculiar thing about the philosophy, or the ideas, behind the laws. Even a very small effect sometimes requires profound changes to our ideas
Question: 1

Which of the following options is DEFINITELY NOT an approximation to the complete truth?

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Watch for \textbf{self-referential contradictions}. Claims that require you to know the content of what you claim not to know are inherently incoherent.
Updated On: Aug 25, 2025
  • I know that I know.
  • I know that I do not know.
  • I know what I know.
  • I know what I do not know.
  • I know that others do not know.
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The Correct Option is D

Solution and Explanation

Step 1: Interpret “approximation to the complete truth.”
An approximation to complete truth must be logically possible and epistemically coherent. Statements that are self-contradictory cannot approximate truth.
Step 2: Check each option for coherence.
(A) “I know that I know.” — A self-ascriptive claim of knowledge about one’s knowing. It can be true (e.g., I know a fact and I’m aware of knowing it). $\Rightarrow$ Coherent.
(B) “I know that I do not know.” — Classic Socratic stance: knowing one’s ignorance about some subject. $\Rightarrow$ Coherent.
(C) “I know what I know.” — Tautologically acceptable: the set of my known propositions is known to me in principle. $\Rightarrow$ Coherent (though trivial).
(D) “I know {what} I do not know.” — Claims knowledge of the {specific content} that one {does not know}. If you genuinely do not know a proposition’s content, you cannot simultaneously know {that content}. At best you can know {that there exist unknowns} or {the domain} of ignorance, not the unknown truths themselves. $\Rightarrow$ Self-defeating, hence cannot approximate complete truth.
(E) “I know that others do not know.” — Could be true in contexts where one has evidence that others lack certain knowledge. $\Rightarrow$ Coherent.
Step 3: Conclude.
Only (D) is logically impossible as stated; therefore it is definitely not an approximation to the complete truth.
\[ \boxed{\text{Correct Answer: (D) I know what I do not know.}} \]
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Question: 2

Consider the two statements from the passage: Statement I: The mass of an object never seems to change.
Statement II: Mass is found to increase with velocity.
Which of the following options CANNOT be concluded from the above passage?

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In “cannot be concluded” questions, eliminate the options that logically follow. The remaining choice will be the one that stretches beyond the given passage.
Updated On: Aug 25, 2025
  • Both statements I and II are approximation to the complete truth.
  • Both statements I and II are complete truth so far as we know.
  • Statement I is an approximation to the complete truth but Statement II is complete truth.
  • Statement I reveals that experimental physicists who imagine, deduce, and guess are philosophically wrong.
  • Statement II shows that theoretical physicists can pinpoint the shortcomings of experimental physicists.
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The Correct Option is

Solution and Explanation

Step 1 (Interpret the given statements).
- Statement I: “Mass never seems to change” — reflects a classical approximation from everyday experiments.
- Statement II: “Mass increases with velocity” — reflects relativistic physics (Einstein’s theory), showing deeper scientific truth.
Step 2 (Check each option).
(A) True — Both can be treated as approximations, depending on the context (classical vs. relativistic).
(B) Possible — Within their respective frameworks (classical mechanics and relativity), both are seen as true.
(C) True — Classical statement (I) is approximate; relativistic (II) is closer to complete truth.
(D) Acceptable — Statement I indicates experimental observations alone may mislead without theoretical input.
(E) Incorrect — Nothing in Statement II directly claims that theoretical physicists pinpoint experimental shortcomings. This extrapolation goes beyond the passage.
Step 3 (Conclude).
The only option that CANNOT be concluded is (E).
\[ \boxed{\text{Correct Answer: (E)}} \]
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Question: 3

‘Big Bang’ is a popular theory related to the origin of the universe. It states that the universe was the outcome of a big bang that released enormous energy. Which of the following is the MOST PROBABLE inference about the big bang theory?

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In science questions, check whether the theory originated as a mathematical/theoretical idea or as an observation. The Big Bang began as a \textbf{theoretical insight}, later supported by experimental evidence like redshift and cosmic microwave background.
Updated On: Aug 25, 2025
  • Big Bang Theory was first proposed by experimental physicists.
  • Big Bang Theory was first proposed by theoretical physicists.
  • Big Bang Theory was first proposed by experimental physicists and then deduced by theoretical physicists.
  • Philosophers got the Big Bang theory wrong.
  • Big Bang theory is not an approximation of the complete truth.
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The Correct Option is B

Solution and Explanation

Step 1: Understanding the Big Bang Theory.
The Big Bang Theory explains the origin of the universe as beginning from an extremely dense and hot singularity that expanded rapidly. This concept is primarily a theoretical construct arising from Einstein’s equations of general relativity and cosmological insights, before experimental confirmation.
Step 2: Evaluate each option.
- (A) Incorrect. Experimental physicists did not propose the theory first; they later provided confirming evidence (Hubble’s redshift observations, cosmic microwave background).
- (B) Correct. The proposal came first from theoretical physicists, notably Georges Lemaître, who derived the idea from general relativity.
- (C) Incorrect. The timeline is reversed: theory first, experimental validation later.
- (D) Incorrect. Philosophers are not central to the scientific proposal or inference of the Big Bang.
- (E) Incorrect. While scientific theories are approximations, this does not directly answer the “most probable inference” being asked here.
Step 3: Conclusion.
The most probable inference is that the Big Bang Theory was first proposed by theoretical physicists, and only later verified by experimental evidence.
\[ \boxed{\text{Correct Answer: (B) Big Bang Theory was first proposed by theoretical physicists.}} \]
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