So, based on what little we know so far from the SPECIAL distribution at chargen, and the perk chart shown in the promotional screenshot and bundled with the Collector's Edition, we'll be getting 70 perks organized by SPECIAL, some of them with multiple ranks.
Speculation time: My guess is that we'll get some way to raise our SPECIAL stats, maybe by spending a perk point on the SPECIAL row of the chart to raise that stat instead of taking a perk. If there's no limit on how much we can raise SPECIAL this way, it would take 42 levels to reach 10 in all SPECIAL. Add in all of the perks and you'd have to reach (at the very minimum, since there are ranked perks) level 112 in order to get max SPECIAL and every perk. Given Bethesda's design philosophy, and what they did with Legendary skills in Skyrim (which technically enabled players to get every perk, but in practice it was implausible to level that much through normal gameplay), I'm pretty sure Fallout 4 won't have a level cap and we'll actually be able to reach that point, although I hope it becomes painfully slow to level up past level 50 or so.
My question in this thread is, should the player character be able to max out their SPECIAL and take every perk at some point? My opinion is yeah, it should be possible, but it should take waaay more time than a player would normally spend on a single character, and leveling should get exponentially slower after a point.
How much effort should it take to max out our character? Should it be possible at all? Explain your concerns.