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Logical Thinking

A worker is to perform work for you for seven straight days. In return for his work, you will pay him 1/7th of a bar of gold per day. The worker requires a daily payment of 1/7th of the bar of gold. What and where are the fewest number of cuts to the bar of gold that will allow you to pay him 1/7th each day?

Think logically to solve the above problem.

We often apply logic without knowing that we are doing so. Thus to draw attention to the importance of logic in the development of knowledge, UNESCO has proclaimed 14 January World Logic Day.

The ability to think is one of the most defining features of humankind. In different cultures, the definition of humanity is associated with concepts such as consciousness, knowledge and reason. Logic, as the investigation on the principles of reasoning, has been studied by many civilizations throughout history and, since its earliest formulations, logic has played an important role in the development of philosophy and the sciences.

The development of Indian logic dates back to the anviksiki of Medhatithi Gautama (c. 6th century BCE); the Sanskrit Grammer rules of Panini (c. 5th century BCE); the Vaisheshika school's analysis of atomism (c. 6th century BCE to 2nd century BCE); the analysis of inference byGotama (c. 6th century BC to 2nd century CE), founder of the Nyayaschool ofHindu Philosophy; and the tetralemma of Nagarjuna (c. 2nd century CE).

Indian logic stands as one of the three original traditions of logic, alongside the Greek and the Chinese logic. The Indian tradition continued to develop through early to modern times, in the form of the Navya- Nyaya school of logic.

Answer to the Puzzle:

Day One: You make your first cut at the 1/7th mark and give that to the worker.

Day Two: You cut 2/7ths and pay that to the worker and receive the original 1/7th in change.

Day three: You give the worker the 1/7th you received as change on the previous day.

Day four: You give the worker 4/7ths and he returns his 1/7th cut and his 2/7th cut as change.

Day Five: You give the worker back the 1/7th cut of gold.

Day Six: You give the worker the 2/7th cut and receive the 1/7th cut back in change.

Day Seven: You pay the worker his final 1/7th

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