Irritated
by trivialities,
overwhelmed
by brutality
and innocent suffering,
disappointed
by our own inadequacies –
–in anxiety, confusion and hope
we turn to You.

Pry us loose from our self-absorption
that we might look for You today,
for Your comfort, Your Peace,
Your power, Your direction.

Break the hold
of the posturing, presumptuous
yet finally false powers of this world.

Awaken us to Your magnificence
that we might live in awe
of nothing but You.

Free us, then, from our fears
that we might, at the least,
be courteous to all whom we meet,
and thereby offer
an opening for Your grace.

Question: Is having bad opinion of others actually self-inflicting?

Answer: “When you hear a man say, ‘The people are ruined,’ he himself is the most ruined of them all.”[1] Since this blessed statement is a pithy one, it conveys many truths. One of the truths conveyed by this saying by Prophet Muhammad, peace be upon him, pertains to making false assumptions or having bad opinions about others. Vilifying others, even to the degree of declaring them to be ruined, almost always stems from such false assumptions. However, the noble Prophet points out that the one who makes such sinful statements is actually the most ruined one.

Those who idolize their ego seek others to blame

The underlying motive behind such invective is egotism, ego-centrism, and even narcissism. If a person is vilifying everybody and finding faults in them, it means that they are idolizing themselves unawares. A person devoid of positive thinking but fixed on negative thoughts can even use their false assumptions to criticize very important acts of worship by others, questioning their sincerity in their prayers.

Such a thought should be accosted by the Prophet’s warning, “Did you cleave his heart open to check it out?”[2] We cannot know anyone’s heart. A person who seems to neglectfully observe prayer may actually be observing it with deep feeling. Viewing others’ acts of worship with bias and assuming them to be sanctimonious is a terrible form of false assumption. Such a false assumption may cause a person to end up in utter spiritual loss. God Almighty forbids baseless suspicions, in a definite and clear fashion, with the following Divine decree: “O you who believe! Avoid much suspicion, for some suspicion is a grave sin (liable to God’s punishment); and do not spy (on one another…)” (al-Hujurat 49:12).

While considering others, it is always necessary to view them in a positive light, as far as there is a possible basis for it. Even if a person has only one aspect that allows positive thinking, one must still take it and avoid negative thinking. On the other hand, while viewing ourselves, we must be self-critical to the degree of worrying about the possibility of having spoilt our good deeds by showing off.

Someone who outwardly seems to have a weak connection with God, owing to poor observance of individual worship, can be someone who always speaks truthfully in interpersonal relations and never lies. We must interpret this attitude of theirs as a result of their God-consciousness and say, “Given that this person is so scrupulous about refraining from lying, then they must have a very strong relation with God.”

Similarly, imagine a person who is very vigilant against unlawful gain, does not even eat a forbidden morsel, and refuses to take an undeserved payment for a task they did not carry out. This person’s behaviors are so praiseworthy that one can only assume his or her special connection with the Divine.

Balance: think positively, but with caution

If we refrain from going to extremes but seek the ideal conduct on this matter, we must never disregard the following principle: for those people whose ups and downs we witness, we should still think positively, but with caution. If the person we view with positive thoughts occasionally strays from the line of uprightness, then they may not be a mature and perfect person, as we see them to be. In this respect, even if we entertain positive thoughts about that certain person, we should not fail to act cautiously about certain issues, such as giving them some vital responsibilities or entrusting them with very important tasks. However, we should know that even in such a case, we do not have the right to adopt statements that convey negative thoughts while giving an account of that person. We cannot say things like, “I do not have much trust in such and such person; they are not really trustworthy.”

While viewing others we should think that even the simplest deeds can be a means of salvation for them. We should overlook their faults and avoid speaking negatively about them. A particular example from the time of the noble Prophet provides important lessons to believers in this respect.

In the early period of the prohibition of alcohol, one Companion was caught drunk many times and was severely reprimanded. Once, he was brought to the presence of the Messenger of God, peace and blessings be upon him, and reprimanded for the same offense. One of those present reacted to him with words like, “May God curse you! What a bad person you are! How many times it has been, and you are still brought to his presence like this?”

Upon hearing this, the noble Prophet said, “Do not speak like this; do not help Satan against your brother with such words. I swear by God, he loves God and His Messenger very much!”[3] So we should constantly view others through this perspective of the Messenger of God, peace and blessings be upon him.

Positive thinking: a very beautiful form of worship

One must especially avoid making false assumptions when considering the volunteers devoted to serving for the sake of faith and the Qur’an—those who have a relationship with God, His Messenger, and the Qur’an. A believer must heed the following warning of the Messenger of God, peace and blessings be upon him:

“Whoever shames his brother for a sin, he shall not die until he (himself) commits it.”[4] In this respect, one should be fearful, shaking in anguish with the consideration, “I saw such negative things in certain persons, but what if others see such things in me, my spouse, or my children?”

A real believer must be careful with his thoughts about others, no matter who they are. A real believer must act cautiously. As it is known, tayaqquz, which means being ever-vigilant, is the first step of spiritual journeying. A believer must always walk on the path of God with open eyes, channel his thoughts in the positive way as much as possible, and must definitely not commit the sin of false assumption. In addition, the noble Prophet points to positive thinking as a lofty horizon, stating that, “Entertaining good thoughts stem from a person’s good worship.”[5]

Together with positive thinking we should not fail to act cautiously and build barriers against those who take delight in biting others like poisonous snakes and are continually trying to cause harm. However, acting cautiously in this respect should not stop you from praying to God to grant guidance to those who devise various conspiracies against you.

In the face of the mistreatment and oppressions you go through, God has granted you the possibility of a different preference. If you wish, it is possible for you to say, “My God, please vanquish them, shatter their alliances, bring their schemes to nothing, and let them fall into their own traps!” Saying all of these is your right, in accordance with the judgment of the verse, “If you have to respond to any wrong, respond (only) to the measure of the wrong done to you” (an-Nahl 16:126). If somebody is oppressing you, preparing different conspiracies against you, or setting traps against you, it will be your lawful right to make moves to reverse these. Together with that, the verse continues, “but if you endure patiently, it is indeed better for the patient…,” and states that even in terms of personal rights, it is better for you to show patience and not give up gentlemanliness.

Footnotes

[1] Sahih Muslim, Birr, 139; Sunan Abu Dawud, Adab, 77; Imam Malik, Al-Muwatta, Kalam, 2.

[2] Sahih al-Bukhari, Maghazi, 45; Sahih Muslim, Iman, 158.

[3] Sahih al-Bukhari, Hudud, 4-5; Abdurrazzaq, Al-Musannaf, 7/381, 9/246.

[4] Sunan at-Tirmidhi, Sifatu’l-Qiyamah, 53; Tabarani, Al-Mu’jam al-Awsat, 7/191.

[5] Sunan Abu Dawud, Adab, 81; Ahmad ibn Hanbal, Al-Musnad, 2:297.

Some of the incidents we are experiencing today might seem as if they have no precedent – this is both true and false; yes, no precedents on the scale we see today; and no, for violence is something we human beings have always been prone to. Thus, peacebuilding is not possible via revisions in educational policies alone; it is to a no lesser degree relevant to human character, virtue, and moral development. And these are some of the discussions you will find in our coverage in this issue.

The lead article focuses on value transmission in education of the young and how it is so critical for a nation to maintain its existence. Johnston McMaster discusses pluralist democracy and global citizenship as two main goals which education should be geared towards. Michael A. Samuel shares his observation of Turkish teachers inspired from Fethullah Gülen and the Hizmet philosophy who migrated to South Africa with a sense of “responsibility to guide the world to a better realization of its potential fullness of being; towards a greater goal of good.” Zekeriya Ozsoy warns teachers that an imbalanced conduct of reward might shift the motivation of some students to material prizes and cause them lose their intrinsic capacity to strive and achieve.

Two special contributions from Nigeria give us hope that sound-thinking leaders and scholars might enable this African star to be rescued from the current violence based on religious and ethnic differences.

Given the emphasis by the Qur’an on logical reasoning, it is understood that its audience (all of mankind) is expected to have a basic understanding of logical principles. It is our purpose in this article to go over a few basic principles of logic and give examples of how they are used in the Qur’an.

Logical principle 1: Proof by contradiction. An important aspect of logic concerns methods of proving or disproving statements. This is one of the basic principles of proving statements, and it is commonly used to prove mathematical statements. To show that a statement is true using this principle, suppose its negation is true, that is, that the statement itself is false. If you can then obtain a contradiction, something that is clearly false, this shows that the original statement is true. We shall illustrate this principle with an example. The reason we choose this example is that it is a classical result in mathematics, and the argument is beautiful. According to Hardy, this is an example of a first-class theorem about a significant mathematical fact (“a real mathematical theorem”) that is accessible to a general, educated audience (Hardy, 1967). There is a fundamental theorem in number theory which says that “there are infinitely many prime numbers.”1 There are many other proofs of this theorem but the most elementary and elegant proof is given by Euclid and it is by contradiction. Hardy claims that “both the statement and the proof can be mastered in an hour by an intelligent reader, however slender his mathematical equipment” (Hardy, 1967). Here is that proof: Suppose there is only a finite number of primes. Call them p1 , p2 , … pn. Now, consider the number N = p1 , p2 , … pn +1. Clearly, N is not equal to any of the primes in the list. Therefore, N itself is not a prime, and hence N must be divisible by one of the primes p1 , p2 , … pn (this is by “the fundamental theorem of arithmetic” which states that every integer greater than 1 can be written as a product of prime numbers). However, that is not the case: when N is divided by each one of pi there is a remainder of 1. This is a contradiction, and it arises from the assumption that there are only finitely many primes. Hence, the assumption cannot be true, and we conclude that there are infinitely many primes.

Proof by contradiction, or reductio ad absurdum in Latin, is one of the mathematician’s finest tools. There are many examples of theorems in mathematics where the simplest proof is by reductio ad absurdum. Another classical example is to show that √ is not a rational number (Hardy, 1967).

Now, we would like to give examples from the Qur’an where this logical principle is used. Consider the verse: “Had there been in the heavens and the earth any deities other than God, both would certainly fallen into ruin” (Anbiya 21:22). Here the argument is: suppose there were gods other than God. Then the earth and the heaven could not maintain their order (because the powers and wills of different gods would interfere with each other). Since this is clearly not the case (because we see perfect order in the universe), this contradicts the logical consequence of the initial assumption. Therefore, the initial assumption (i.e., there are more than one god) is wrong.

For another example, let us consider the verse: “Do they not contemplate the Qur’an? Had it been from any other than God, they would surely have found in it much inconsistency” (Nisa 4:82). Here the statement to be proven is “The Qur’an is the word of God, and it is from God.” To prove this statement by reductio ad absurdum, suppose for a moment the opposite statement is true, that is, that the Qur’an is not from God. A logical consequence of this assumption would be it is the word of a human being, but then there would be inconsistencies in it because the Qur’an talks about such great matters that if a human being had written it he would have made mistakes and inconsistent statements (for more on this point see Unal, 2007, page 228, and Nursi). However, we see no such statements in the Qur’an, thus contradicting the initial assumption. Therefore the Qur’an is the word of God.

The final example we would like to give related to this principle is expressed in the verse: “If you are in doubt about the Divine authorship of what We have sent down our servant (Muhammad) then produce just a sura (chapter) like it and call for help to all your supporters” (Baqara 2:23). Here the statement to be proven is the same as the one in the previous example. The argument goes like this: If it was possible for anybody other than God to produce the Qur’an, you should be able to make something like it with all of your supporters, if not an entire book, just a chapter of it. The Qur’an presents disbelievers with a challenge. However, they have not been able to meet the challenge. They chose to fight with the sword because fighting with words was not possible. Therefore the assumption that “the Qur’an could have been written by a human” is wrong.

Logical principle 2: The next principle we would like to discuss is the equivalence of an implication to its contrapositive. A statement of the form “If P, then Q” is called an implication. In such an implication P is called the premise, or the hypothesis and Q is called the conclusion. Such a statement asserts that whenever P is true (or satisfied) then Q is guaranteed to be true. However, if/when P is not true, it does not say anything about the truth value of Q. An example of an implication from daily life is: “If it is rainy, then it is cloudy.” Here the premise is “it is rainy” and the conclusion is “it is cloudy.” Another example would be: “If you are in New York City, then you are in the US.” A mathematical example is: “if a number n is divisible by 6, then it is even.” An implication can also be read as “P implies Q,” or written “P => Q.” The contrapositive of an implication “if P then Q” is “if not Q then not P.” For example, the contrapositive of the first implication above is “if it is not cloudy then it is not rainy,” of the second one, “if you are not in the US, then you are not in NY city,” and of the third one, “if n is odd (not even) then n is not divisible by 6.”

Here are two examples from the Qur’an where we can apply this principle. The first one is the verse we discussed above: “If you are in doubt about the Divine authorship of what We have sent down our servant (Muhammad) then produce just a sura like it and call for help to all your supporters.” We can rephrase this statement as “if the Qur’an is not the word of God, then humans can produce a like of it,” and its contrapositive is “if humans cannot produce something similar to the Qur’an, then it is the word of God.” Remember that these two statements are logically equivalent. Now, we know that humans cannot produce anything comparable to the Qur’an despite much effort and motivation, therefore it follows that it is the word of God.

The second example we want to consider is the verse: “Say (to them, O Messenger) if you indeed love God, then follow me, so that God will love you and forgive your sins” (Al Imran 3:31). The contrapositive of this statement can be stated as (slightly simplified) “if you are not following his messenger, then you really do not love God.” So, we obtain a clear measure of whether one really loves God or not. Following the Prophet is a necessary condition to attain the love of God.

Logical principle 3: The final principle we discuss is false implies anything. This is actually a special case of an implication of the form “P implies Q.” Recall that such a statement asserts that whenever P is true, Q is also true, so P promises Q. However, if P is not true then it does not claim anything about Q; it may or may not be true. For example, if it is not rainy then it may or may not be cloudy. An implication is false when P is true yet Q is false. Intuitively, we can think of this as breaking a promise. The question arises as to what the truth value of an implication should be when the premise P is false. It is accepted that the implication will be true in this case, because when the premise is false, the conclusion is totally irrelevant. This is called “false implies anything.” One can make any conclusion whatsoever based on a false premise, but it really does not mean anything. For example, the statements “if 2+2=5, then there are only finitely many primes,” and “if the world is flat, then there are no wars in the world” are both true statements. These statements are true but they really do not have any substance. They are true by a convention in logic. The important point one needs to pay attention to is this: Once you believe a premise that is not true, it is possible to make any conclusion you want and the whole argument looks right. However, such an argument is quite meaningless. So one needs to examine very carefully what is being assumed in a logical argument.

One example we want to consider from the Qur’an related to this principle is the verse: “Those who deny Our Revelations and turn arrogantly from them-for them, the gates of Heaven will not be opened and they will not enter Paradise unless a camel can pass through the eye of a needle” (A’raf 7:40). With a little simplification, we can rephrase this verse as “if a camel passes through the eye of a needle, then disbelievers will enter Paradise.” Since the premise is false (obviously, a camel cannot pass through the eye of a needle), this implication is true. However, this is not good news for disbelievers because the truth of this implication has nothing to do with the truth of its conclusion. This again shows the point: One needs to examine logical arguments carefully. What looks true or convincing formally and on the surface may not mean anything in reality if it is based on a false premise.

Nuh Aydin is an associate professor of Mathematics at Kenyon College, in Ohio, USA.

Notes

1. A positive integer n that is greater than 1 is called a prime if its only positive divisors are 1 and n. 1 is not considered to be a prime. Thus the sequence of prime numbers is 2, 3, 5, 7, 11, 13, 17, 19, 23, 29…

References

• Hardy, G. H. A Mathematician’s Apology, Cambridge University Press, 1967.
• Nursi, Bediuzzaman Said. The Words (translation), The Twenty-Fifth Word, Available online at http://en.nurglobal.net/modules/mastop_publish/?tac=The_Twenty-Fifth_Word
• Unal, Ali. The Qur’an with Annotated Interpretation in Modern English, The Light Inc., 2007.