Mathematics (Books)

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BG Chapters 1 - 6

Two plus two equals four is a mathematical principle that is true in the beginner's arithmetic class and in the advanced class as well. Still, there are higher and lower mathematics.

BG 4.7, Purport:

The principles of the Bhagavad-gītā were spoken to Arjuna, and, for that matter, to other highly elevated persons, because he was highly advanced compared to ordinary persons in other parts of the world. Two plus two equals four is a mathematical principle that is true in the beginner's arithmetic class and in the advanced class as well. Still, there are higher and lower mathematics. In all incarnations of the Lord, therefore, the same principles are taught, but they appear to be higher and lower in varied circumstances. The higher principles of religion begin with the acceptance of the four orders and the four statuses of social life, as will be explained later. The whole purpose of the mission of incarnations is to arouse Kṛṣṇa consciousness everywhere.

Two plus two equals four is a mathematical principle that is true in the beginner's arithmetic class and in the advanced class as well. Still, there are higher and lower mathematics.

BG 4.7, Purport:

The principles of the Bhagavad-gītā were spoken to Arjuna, and, for that matter, to other highly elevated persons, because he was highly advanced compared to ordinary persons in other parts of the world. Two plus two equals four is a mathematical principle that is true in the beginner's arithmetic class and in the advanced class as well. Still, there are higher and lower mathematics. In all incarnations of the Lord, therefore, the same principles are taught, but they appear to be higher and lower in varied circumstances. The higher principles of religion begin with the acceptance of the four orders and the four statuses of social life, as will be explained later. The whole purpose of the mission of incarnations is to arouse Kṛṣṇa consciousness everywhere. Such consciousness is manifest and nonmanifest only under different circumstances.

BG Chapters 7 - 12

As far as ordinary education is concerned, people are involved with so many departments: politics, sociology, physics, chemistry, mathematics, astronomy, engineering, etc.

BG 9.2, Purport:

Generally, people are not educated in this confidential knowledge; they are educated in external knowledge. As far as ordinary education is concerned, people are involved with so many departments: politics, sociology, physics, chemistry, mathematics, astronomy, engineering, etc. There are so many departments of knowledge all over the world and many huge universities, but there is, unfortunately, no university or educational institution where the science of the spirit soul is instructed. Yet the soul is the most important part of the body; without the presence of the soul, the body has no value. Still people are placing great stress on the bodily necessities of life, not caring for the vital soul.

SB Canto 2

The Lord is described here as aprameya, for not even the best human brain can estimate His powers and potencies by mathematical calculation.

SB 2.7.16, Purport:

The yogīs can reach any distant place very quickly with the help of mindships. But neither the airship nor the mindship has access to the kingdom of God in the Vaikuṇṭhaloka, situated far beyond the material sky. Since this is the situation, how was it possible for the prayers of the elephant to be heard from such an unlimitedly distant place, and how could the Lord at once appear on the spot? These things cannot be calculated by human imagination. All this was possible by the unlimited power of the Lord, and therefore the Lord is described here as aprameya, for not even the best human brain can estimate His powers and potencies by mathematical calculation. The Lord can hear from such a distant place, He can eat from there, and He can appear simultaneously in all places at a moment's notice. Such is the omnipotency of the Lord.

The nature of the material world is that it is first created very nicely, then it develops very nicely and stays for a great number of years (even beyond the calculation of the greatest mathematician).

SB 2.10.43, Purport:

The nature of the material world is that it is first created very nicely, then it develops very nicely and stays for a great number of years (even beyond the calculation of the greatest mathematician), but after that it is again destroyed during the night of Brahmā, without any resistance, and at the end of the night of Brahmā it is again manifested as a creation to follow the same principles of maintenance and destruction. The foolish conditioned soul who has taken this temporary world as a permanent settlement has to learn intelligently why such creation and destruction take place.

SB Canto 3

The froggish philosophers and mundane wranglers in science and mathematical calculation may not believe in the inconceivable potency of the Supreme Personality of Godhead, but they are sometimes puzzled by the wonderful jugglery of man and nature.

SB 3.6.39, Purport:

The froggish philosophers and mundane wranglers in science and mathematical calculation may not believe in the inconceivable potency of the Supreme Personality of Godhead, but they are sometimes puzzled by the wonderful jugglery of man and nature. Such jugglers and magicians of the mundane world are actually puzzled by the jugglery of the Lord in His transcendental activities, but they try to adjust their bewilderment by saying that it is all mythology. There is, however, nothing impossible or mythological in the Supreme Omnipotent Person. The most wonderful puzzle for the mundane wranglers is that while they remain calculating the length and breadth of the unlimited potency of the Supreme Person, His faithful devotees are set free from the bondage of material encagement simply by appreciating the wonderful jugglery of the Supreme in the practical field. The devotees of the Lord see the wonderful dexterity in everything with which they come in contact in all circumstances of eating, sleeping, working, etc.

Time is astronomically and mathematically calculated in relation to the speed, change and life of a particular object.

SB 3.10.11, Purport:

The time factor is also explained by modern men in various ways. Some accept it almost as it is explained in the Śrīmad-Bhāgavatam. For example, in Hebrew literature time is accepted, in the same spirit, as a representation of God. It is stated therein: "God, who at sundry times and in diverse manners spake in time past unto the fathers by the prophets...." Metaphysically, time is distinguished as absolute and real. Absolute time is continuous and is unaffected by the speed or slowness of material things. Time is astronomically and mathematically calculated in relation to the speed, change and life of a particular object.

It appears that in the days of Vedic civilization there was no dearth of knowledge in physics, chemistry or higher mathematics. Measurements were calculated in different ways, as simply as could be done.

SB 3.11.9, Purport:

It is advised herein that the bore in the copper measuring pot must be made with a probe weighing not more than four māṣa and measuring not longer than four fingers. This regulates the diameter of the hole. The pot is submerged in water, and the overflooding time is called a daṇḍa. This is another way of measuring the duration of a daṇḍa, just as time is measured by sand in a glass. It appears that in the days of Vedic civilization there was no dearth of knowledge in physics, chemistry or higher mathematics. Measurements were calculated in different ways, as simply as could be done.

The subject matters of physics, chemistry, mathematics, astronomy, time and space dealt with in the above verses of Śrīmad-Bhāgavatam are certainly very interesting to students of the particular subject, but as far as we are concerned, we cannot explain them very thoroughly in terms of technical knowledge.

SB 3.11.14, Purport:

The subject matters of physics, chemistry, mathematics, astronomy, time and space dealt with in the above verses of Śrīmad-Bhāgavatam are certainly very interesting to students of the particular subject, but as far as we are concerned, we cannot explain them very thoroughly in terms of technical knowledge. The subject is summarized by the statement that above all the different branches of knowledge is the supreme control of kāla, the plenary representation of the Supreme Personality of Godhead. Nothing exists without Him, and therefore everything, however wonderful it may appear to our meager knowledge, is but the work of the magical wand of the Supreme Lord.

It is stated in Bhagavad-gītā that Brahmā's twelve hours are inconceivable even to our mathematicians. These are all descriptions of the external energy of the Lord, or māyā.

SB 3.25.37, Purport:

We have experience of different varieties of material enjoyment even on this planet, but if one is able to promote himself to higher planets like Candraloka, the sun or, still higher, Maharloka, Janaloka and Tapoloka, or even ultimately the highest planet, which is inhabited by Brahmā and is called Satyaloka, there are immense possibilities for material enjoyment. For example, the duration of life on higher planets is far, far greater than on this planet. It is said that on the moon the duration of life is such that our six months are equal to one day. We cannot even imagine the duration of life on the highest planet. It is stated in Bhagavad-gītā that Brahmā's twelve hours are inconceivable even to our mathematicians. These are all descriptions of the external energy of the Lord, or māyā.

SB Canto 5

One may ask whether scientists, philosophers, economists and mathematicians are also narādhamas, the lowest of men, and the Supreme Personality of Godhead replies that they are because they have no actual knowledge. They are simply proud of their false prestige and position.

SB 5.14.27, Purport:

Due to their foolishness, all these materialists are described in Bhagavad-gītā as narādhamas. They have attained the human form in order to get released from material bondage, but instead of doing so, they become further embarrassed amid the miserable material conditions. Therefore they are narādhamas, the lowest of men. One may ask whether scientists, philosophers, economists and mathematicians are also narādhamas, the lowest of men, and the Supreme Personality of Godhead replies that they are because they have no actual knowledge. They are simply proud of their false prestige and position. Actually they do not know how to get relief from the material condition and renovate their spiritual life of transcendental bliss and knowledge. Consequently they waste time and energy in the search for so-called happiness. These are the qualifications of the demons. In Bhagavad-gītā it says that when one has all these demonic qualities, he becomes a mūḍha (BG 9.11). Due to this, he envies the Supreme Personality of Godhead; therefore birth after birth he is born into a demonic family, and he transmigrates from one demonic body to another. Thus he forgets his relationship with Kṛṣṇa and remains a narādhama in an abominable condition life after life.

CC Adi-lila

A Bengali translation of this book was compiled by the great professor of astronomy and mathematics Bimal Prasād Datta, later known as Bhaktisiddhānta Sarasvatī Gosvāmī, who was our merciful spiritual master.

CC Adi 3.8, Purport:

A manv-antara is the period controlled by one Manu. The reign of fourteen Manus equals the length of one day (twelve hours) in the life of Brahmā, and the night of Brahmā is of the same duration. These calculations are given in the authentic astronomy book known as the Sūrya-siddhānta. A Bengali translation of this book was compiled by the great professor of astronomy and mathematics Bimal Prasād Datta, later known as Bhaktisiddhānta Sarasvatī Gosvāmī, who was our merciful spiritual master. He was honored with the title Siddhānta Sarasvatī for translating the Sūrya-siddhānta, and the title Gosvāmī Mahārāja was added when he accepted sannyāsa, the renounced order of life.

In the science of mathematics, for example, two plus two equals four, and one cannot make it equal three or five. Yet although it is not possible to alter real knowledge, people have taken to the fashion of understanding Vedic knowledge in any way they like.

CC Adi 7.108, Purport:

It has become fashionable since the time of Śaṅkarācārya to explain everything regarding the śāstras in an indirect way. Scholars take pride in explaining everything in their own way, and they declare that one can understand the Vedic scriptures in any way he likes. This "any way you like" method is foolishness, and it has created havoc in the Vedic culture. One cannot accept scientific knowledge in his own whimsical way. In the science of mathematics, for example, two plus two equals four, and one cannot make it equal three or five. Yet although it is not possible to alter real knowledge, people have taken to the fashion of understanding Vedic knowledge in any way they like.

CC Madhya-lila

According to Vedic mathematical calculations, the following enumeration system is used: units, tens (daśa), hundreds (śata), thousands (sahasra), ten thousands (ayuta) and hundred thousands (lakṣa).

CC Madhya 21.20, Purport:

According to Vedic mathematical calculations, the following enumeration system is used: units, tens (daśa), hundreds (śata), thousands (sahasra), ten thousands (ayuta) and hundred thousands (lakṣa). Ten times lakṣa is niyuta. Ten times niyuta is koṭi. Ten times koṭi is arbuda. Ten times arbuda is vṛnda. Ten times vṛnda is kharva. Ten times kharva is nikharva. Ten times nikharva is śaṅkha. Ten times śaṅkha is padma, and ten times padma is sāgara. Ten times sāgara is antya, and ten times antya is madhya, and ten times madhya is parārdha. Each item is ten times greater than the previous one. Thus all the cowherd boys, who were companions of Kṛṣṇa, had many calves to take care of.

Easy Journey to Other Planets

We cannot calculate even a half-day there. It is beyond our mathematical calculations. But even in Brahmaloka there is death.

Easy Journey to Other Planets 2:

We are taking advice from the Supreme Person. He says, "My dear Arjuna, you may be elevated to the highest planetary system, which is called Brahmaloka and is desirable because life there is very long." We cannot calculate even a half-day there. It is beyond our mathematical calculations. But even in Brahmaloka there is death. Therefore Kṛṣṇa says, "Do not waste your time trying to elevate yourself or transfer yourself from this planet to that planet."