🔟The decimal system uses 10 symbols, while the dozenal system uses 12 symbols.
👐The dozenal system could make calculations involving thirds and quarters much easier compared to the decimal system.
🔢For serious mathematics, the choice between base 10 and base 12 does not make a significant difference.
💡Some cultures still use base 12, counting on the segments of the fingers.
📐The French Revolution considered decimalizing everything but ultimately chose the decimal system.
How does the dozenal system make arithmetic easier?
—The dozenal system has more factors, making calculations involving thirds and quarters simpler compared to the decimal system. Patterns for multiplication and division are also easier to see.
Would counting in base 12 have any impact on serious mathematics?
—For serious mathematics, the choice between base 10 and base 12 does not make a significant difference. The mathematical concepts and calculations remain the same.
Are there any cultures that still use base 12?
—Yes, there are some cultures that still use base 12. They count on the segments of the fingers, making it just as easy to use as the decimal system.
Why did the French Revolution choose the decimal system?
—During the French Revolution, the French wanted to make weights and measures easier to use, so they decimalized everything. They had the choice to change the counting system from base 10 to base 12, but ultimately chose to keep the decimal system.
Does the dozenal system have any impact on everyday life?
—The dozenal system could make arithmetic easier in day-to-day life, especially for calculations involving fractions like thirds and quarters. However, it would not significantly impact serious mathematics.
00:00Introduction to the idea of changing the way we count
00:19Overview of the decimal system and its use of 10 symbols
00:57Explanation of the dozenal system which uses 12 symbols
01:38Comparison of counting with 10 symbols and counting with 12 symbols
02:36Discussion on how the dozenal system would be written and pronounced
03:38Advantages of the dozenal system in making arithmetic involving thirds and quarters easier
04:56Explanation of how the dozenal system would be used for divisions and multiplications
06:05Comparison between the dozenal and decimal systems in terms of practicality and ease of use
