Preheat the oven to 400 F/205 C. Place rack in middle position.
In a medium bowl mix together the flour, sugar, salt, baking powder, and baking soda, with a whisk.
In a large bowl combine the water and the vinegar. Then add the flour a third at a time. Use the whisk for the first third then switch to something sturdy like a wooden spoon. Save about 1/4 cup of the flour mixture.
Once to dough comes together in the bowl, pour it out onto a work surface and knead it for 2 to 3 minutes. Add more of the dry mixture as it gets sticky.
Shape the dough into a disc that is about 1 1/2 inches high. Then cut an X or # shape onto the top of it. Bake the bread for 30 to 40 minutes until a nice hard crust forms on the top and a tooth pick or wooden skewer comes out clean when poked in the center.
Allow the soda bread to cool for 10 to 15 minutes before slicing into it and serving it. Spread butter, honey, jam, etc. Or serve it with meat and cheeses. Enjoy!