It's that simple. a + b = c.
A message to cycling advocates. Do you really want your children to navigate a bicycle through auto traffic? Do you really think they can avoid the danger? Instead of encouraging more cycling let's curtail the private auto. As the danger is reduced, then cycling will naturally proliferate and reach critical mass.
How to do it? Let's stop penalizing the people who are using public transportation. Let's remove the user fee (fare) and fund this public good from general tax revenue. It is not a dream, it is working right now in many places. The more it grows, the more people will experience the pleasures of auto-free living. Eventually the private auto will become a rarity again.