The future and the past are not true entities, andy. They are a human invention used to bring order and categorization to our lives.
Time does not move.
It is a constant. It is singular. There is no tomorrow, yesterday, or anything else other than the moment. This moment right now that we're in. And it extends forever. (Or, till the death of time.)
I don't have the crystals out, chanting this as a koan. It crops up in special relativity and quantum mechanical equations quite often. I saw one page where someone explained it something like this: "The equations say that time is stagnant and unmoving. It is one continuous body. The passage of time can be seen as a collection of parts of the whole, but that does not change the continuity of the whole."
So to say that inductive reasoning is faulty because it induces the future from the past is itself faulty. Rather it would be better to ask if time (or more accurately, spacetime) has any proclivity towards changing its characteristics. Is time unchanging or is it evolving? (Which goes back to Einstein's question "Did God have a choice when creating the universe?" That is, are their many shades of time he could have chosen to create, or can time only have one form.) If the characteristics of time don't change, then dismissing patterns based solely on their occuring in the "past" is completely unfounded. But even if the characteristics of time do change, dismissing patterns based solely on their occuring in the past is probably still incorrect for two reasons. 1: If the characteristics of time do change, they almost certainly does so slowly, so slowly that it's completely negligible over such a piddly span as a person's life, and 2: If the characteristics of time do change, even quickly, it's likely that the physics of the universe still hold, and so time will still be governed by special relativity. And special relativity tells us that even as the characteristics of time change FOR US, time still appears exactly the same TO US. Like the famous example, if one astronaut's on a non-moving spaceship and another's on a spaceship going a relativistic speed (say half the speed of light), and each have a clock hanging on the wall, the non-moving astronaut will see the moving astronaut's clock turning very slowly. The secondhand of the non-moving astronaut's clock will sweep out 3 minutes for every 1 minute the secondhand of the moving astronaut's clock sweeps out. However, AS SEEN BY THE MOVING ASTRONAUT, his clock is not running slow at all, but exactly as it always has.
So even if the characteristics of time change (assuming it changes everywhere, and if it doesn't it would be easy to tell), this still adds no feature to time itself that would proclude drawing patterns from the past to predict the future. (eg, time itself does not nullify my "fire has burned me in the past, fire will burn me in the future" reasoning.)
Other factors will certainly affect the accuracy of drawing conclusions from past patterns (I'm wearing fire-retardant underoos, fire will not burn me), but none of these hinge on some inherent difference between the past and the future. There is none. Neither exist. Time does not move.
So while it's true that sometimes circumstances change and have to be reasoned in when applying past patterns to future or current events, this is not due to time. Rather it's due to the changing components of the situation. Those changing components, if not factored in, can be the pitfall of inductive reasoning. But if factored in, necessarily make inductive reasoning every bit as accurate as deductive reasoning. 'Necessarily' because both are governed by the Conservation of Probability.
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I ate a hooker half a bottle of knife.