When trying to survive in a nuclear wasteland full of mutations and raiders, your not really going to care about spelling and grammer. Also where would you get the paper? Over generations people just forget how to read and write and fall back on to oral history.
-I would if I could pick up where the next road took me, where the next chance of water or food might be, where dangers might be found. Paper would be there. From old wallpaper, abandonend newspaper in rural outhouses, books, old magazines in stores, and even textbooks in abandoned schools. Hell there would be old ciggie packs, wrapping paper ect. Think about how extensively we make use of paper. There would be more paper than ladies handbags... And there would be more than plenty of the latter
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-Sure people would fall back to oral history... but it would take many generations. In the west we have literacy ratings going into the high 90ies. Most everyone knows how to read. People will still pick up fairytale books for their kids to read as bedtime stories if they find them. They would teach their kids to read. I know I would. I know I would instruct my kids to teach their kids.
Besides if you don't know how to read you'd be missing out on the content of fieldmanuals, books about edible plants, medicine, instructions how to operate machinery. Books would teach the urban kid that survived the bombs to stay clear of paths and roads, and be weary around water and food resources. How to utilize herbs, how to set a splint, how to make soap, how to set snares, skin deer, fish, build mantraps or a test if a given plant is edible. All knowledge that people who hunt, who has army ranger/pathfinder/SF experience or live in rural areas take for granted.
Sooner or later you would find an area or village where you were if not safe, then at least not at constant risk. A place where there was food and water. And you would start hoarding knowledge. How to keep and maintain your kit. How to fieldstrip that shotgun or bolt-action rifle. You would start looking for books on plants, survival, basic electronics, anything that would give you an edge or ensure that your kids, wife or yourself would make it. You would want to give your loved ones every possible edge.You wouldn't want them to win a darwin award when they fired a claymoremine in the wrong direction because they couldnt read "Front toward Enemy".