the DOW is a comgolomeration of the prices of all the stocks that make up the DOW added together. So if the general price of those shares all go up(say good day for industry) then the dow goes up, if bad day for industry, dow goes down. ok got it. BUT if the DOLLAR (the denomination of the shares) becomes worth 50% as much those shares (boeing, BP, Exxon, ect) are still worth the SAME AMOUNT(think of those shares as gold, or ammo, worth a fixed amount). As those shares(or gold bars, or cases of ammo) require MORE dollars ot buy them the the price goes up. does the VALUE of that comodity go up, or does the number of dollars to get it go up. As the purchasing power of the dollar gets smaller(inflation, or abandoning of world reserve currency due to our debt) then the price of those shares rises.
To put it this way 36 months ago you could buy a box of 100 9mm for 1 silver dollar, 12 months ago same was true. currently there is a massive shortage of 9mm so it is 2- 4 silver dollars per box but the paper dollar amount is WAY higher. (4-8 times what it used to be).
SAME logic goes for shares of a company. Add a large cross section of shares together and oyu have an average, the AVERAGE price of ammo(9mm, 40, .45, .223, ect) has gone up, BUT has it what is the silver/gold equilvent of those price.