Echogem222
Active Member
I have realized that there are two types of zero in Math, and both are important to understand. Here they are:
A. Divisible Zero: This version of zero would function within the conventional mathematical framework, where zero is treated as a numerical value that can participate in arithmetic operations. For example, in standard mathematics, zero divided by any non-zero number is zero, and this rule would apply to 'divisible zero'. This concept aligns with the traditional understanding of zero in mathematics.
B. Zero Undefined: This type of zero would represent a concept that is not just the absence of quantity, but an absence of definable or divisible substance. It's a conceptual placeholder for something that is fundamentally indeterminate or unquantifiable. In this context, dividing 'zero undefined' would not make sense, as it represents a state or condition that is beyond the scope of standard arithmetic operations.
Allow me to give you an example as to why these two zero types are important. Say you have a basket of 3 oranges and 1 apple. When counting how many oranges you have, the apple would be a 0 in the equation, but it would be a divisible zero because you understand that if you divide the apple in half, you will get two slices, but it would still be zero oranges. But let's say in that basket there were only known to be 3 oranges. In this case zero would be Zero Undefined because the absence of oranges in the basket couldn't be said to be the amount of space remaining in the basket because it was never said there was nothing else in the basket, it was only said there were 3 oranges, therefore you cannot divide that type of zero in half because it hasn't been defined enough.
(Right here I deleted something about 0/0 because I realized I had made a mistake. However, the rest of everything is correct. Still, I would like to clarify that I've realized Zero Undefined is more useful for philosophy than mathematics.)
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Edit: For those of you who still think that Zero undefined is still a useless word, I will explain to you their non-math uses via different words:
First word, Non-Applicable Existence (noun) (Equal to Divisible Zero):
Definition: An existence that is not relevant or applicable to a particular context or situation.
Example usage: "In the context of the experiment, the scientists determined that certain entities were non-applicable existences and therefore removed them from the experimental conditions."
Etymology: "Non-" meaning "not" or "without," and "applicable" meaning "relevant or appropriate to a particular situation."
This term is used to emphasize the presence of an entity or phenomenon while also acknowledging its lack of relevance or applicability to a particular context or situation. It is often used in scientific or technical contexts and can help to make more precise and accurate predictions or decisions by distinguishing between entities that are relevant and those that are not relevant to a given context.
More detailed explanation: "Non-applicable existence" refers to the existence of something that is not relevant or applicable to a particular context or situation. It is a way of categorizing and understanding the presence of something in relation to a specific set of circumstances or conditions.
For example, in a scientific experiment, certain entities or phenomena may be considered "non-applicable existences" if they do not have a direct impact on the outcome of the experiment. While they may still have some level of existence or presence, they are not relevant or applicable to the specific conditions of the experiment and can be ignored or removed without affecting the results.
The term "non-applicable existence" can be used in technical or scientific contexts to make more precise and accurate predictions or decisions by distinguishing between entities that are relevant and those that are not relevant to a given context. It is a way of acknowledging the presence of something while also explaining its relationship to other entities or phenomena.
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Second word, Less Than Non-Applicable Existence (noun) (Equal to Zero Undefined):
Definition: A hypothetical state of existence that is so insignificant and irrelevant to a particular context or situation that it cannot be distinguished from not being there at all. It denotes a level of existence that is so minimal that it has no practical or observable impact on the world or any system.
As a purely hypothetical concept, "less than non-applicable existence" does not have any concrete existence in the physical world, and it is difficult to conceive of it in any tangible way. However, from a logical standpoint, it is possible to imagine a state of existence that is so insignificant or irrelevant to a particular context that it might be considered "less than non-applicable."
For example, consider a hypothetical scenario where a scientist is conducting an experiment to measure the effects of a particular substance on the growth of plants. In this context, the plants are the primary focus of the experiment, and any other entities present in the environment, such as microbes or insects, may be considered "non-applicable existences" since they are not directly relevant to the outcome of the experiment.
However, if there were even smaller entities or particles present in the environment that had such little impact on the experiment that they were effectively indistinguishable from not being there at all, they might be considered "less than non-applicable existences."
From a logical perspective, the concept of "less than non-applicable existence" is possible because it is simply a way of describing a degree of existence or presence that is so minimal or insignificant that it is effectively negligible. While it may not have any concrete manifestation in the physical world, the concept is not inherently contradictory to logic or reason.
More detailed explanation: Try thinking about it this way, there could be an object that you will never think about, but that doesn't mean that object that you will never think about isn't a real thing, it just means that you'll never think about it.
A. Divisible Zero: This version of zero would function within the conventional mathematical framework, where zero is treated as a numerical value that can participate in arithmetic operations. For example, in standard mathematics, zero divided by any non-zero number is zero, and this rule would apply to 'divisible zero'. This concept aligns with the traditional understanding of zero in mathematics.
B. Zero Undefined: This type of zero would represent a concept that is not just the absence of quantity, but an absence of definable or divisible substance. It's a conceptual placeholder for something that is fundamentally indeterminate or unquantifiable. In this context, dividing 'zero undefined' would not make sense, as it represents a state or condition that is beyond the scope of standard arithmetic operations.
Allow me to give you an example as to why these two zero types are important. Say you have a basket of 3 oranges and 1 apple. When counting how many oranges you have, the apple would be a 0 in the equation, but it would be a divisible zero because you understand that if you divide the apple in half, you will get two slices, but it would still be zero oranges. But let's say in that basket there were only known to be 3 oranges. In this case zero would be Zero Undefined because the absence of oranges in the basket couldn't be said to be the amount of space remaining in the basket because it was never said there was nothing else in the basket, it was only said there were 3 oranges, therefore you cannot divide that type of zero in half because it hasn't been defined enough.
(Right here I deleted something about 0/0 because I realized I had made a mistake. However, the rest of everything is correct. Still, I would like to clarify that I've realized Zero Undefined is more useful for philosophy than mathematics.)
+++
Edit: For those of you who still think that Zero undefined is still a useless word, I will explain to you their non-math uses via different words:
First word, Non-Applicable Existence (noun) (Equal to Divisible Zero):
Definition: An existence that is not relevant or applicable to a particular context or situation.
Example usage: "In the context of the experiment, the scientists determined that certain entities were non-applicable existences and therefore removed them from the experimental conditions."
Etymology: "Non-" meaning "not" or "without," and "applicable" meaning "relevant or appropriate to a particular situation."
This term is used to emphasize the presence of an entity or phenomenon while also acknowledging its lack of relevance or applicability to a particular context or situation. It is often used in scientific or technical contexts and can help to make more precise and accurate predictions or decisions by distinguishing between entities that are relevant and those that are not relevant to a given context.
More detailed explanation: "Non-applicable existence" refers to the existence of something that is not relevant or applicable to a particular context or situation. It is a way of categorizing and understanding the presence of something in relation to a specific set of circumstances or conditions.
For example, in a scientific experiment, certain entities or phenomena may be considered "non-applicable existences" if they do not have a direct impact on the outcome of the experiment. While they may still have some level of existence or presence, they are not relevant or applicable to the specific conditions of the experiment and can be ignored or removed without affecting the results.
The term "non-applicable existence" can be used in technical or scientific contexts to make more precise and accurate predictions or decisions by distinguishing between entities that are relevant and those that are not relevant to a given context. It is a way of acknowledging the presence of something while also explaining its relationship to other entities or phenomena.
+++
Second word, Less Than Non-Applicable Existence (noun) (Equal to Zero Undefined):
Definition: A hypothetical state of existence that is so insignificant and irrelevant to a particular context or situation that it cannot be distinguished from not being there at all. It denotes a level of existence that is so minimal that it has no practical or observable impact on the world or any system.
As a purely hypothetical concept, "less than non-applicable existence" does not have any concrete existence in the physical world, and it is difficult to conceive of it in any tangible way. However, from a logical standpoint, it is possible to imagine a state of existence that is so insignificant or irrelevant to a particular context that it might be considered "less than non-applicable."
For example, consider a hypothetical scenario where a scientist is conducting an experiment to measure the effects of a particular substance on the growth of plants. In this context, the plants are the primary focus of the experiment, and any other entities present in the environment, such as microbes or insects, may be considered "non-applicable existences" since they are not directly relevant to the outcome of the experiment.
However, if there were even smaller entities or particles present in the environment that had such little impact on the experiment that they were effectively indistinguishable from not being there at all, they might be considered "less than non-applicable existences."
From a logical perspective, the concept of "less than non-applicable existence" is possible because it is simply a way of describing a degree of existence or presence that is so minimal or insignificant that it is effectively negligible. While it may not have any concrete manifestation in the physical world, the concept is not inherently contradictory to logic or reason.
More detailed explanation: Try thinking about it this way, there could be an object that you will never think about, but that doesn't mean that object that you will never think about isn't a real thing, it just means that you'll never think about it.
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